Optical image capturing system

ABSTRACT

A four-piece optical lens for capturing image and a five-piece optical module for capturing image are provided. In the order from an object side to an image side, the optical lens along the optical axis includes a first lens with positive refractive power; a second lens with refractive power; a third lens with refractive power; and a fourth lens with refractive power; and at least one of the image-side surface and object-side surface of each of the four lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims priority from Taiwan Patent Application No.105117457, filed on Jun. 2, 2016, in the Taiwan Intellectual PropertyOffice, the content of which is hereby incorporated by reference in itsentirety for all purposes.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present disclosure relates to an optical image capturing system, andmore particularly to a compact optical image capturing system which canbe applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices havingcamera functionalities, the demand for an optical image capturing systemis raised gradually. The image sensing device of ordinary photographingcamera is commonly selected from charge coupled device (CCD) orcomplementary metal-oxide semiconductor sensor (CMOS Sensor). Inaddition, as advanced semiconductor manufacturing technology enables theminimization of pixel size of the image sensing device, the developmentof the optical image capturing system directs towards the field of highpixels. Therefore, the requirement for high imaging quality is rapidlyraised.

The traditional optical image capturing system of a portable electronicdevice comes with different designs, including a second-lens or athird-lens design. However, the requirement for the higher pixels andthe requirement for a large aperture of an end user, likefunctionalities of micro filming and night view, or the requirement ofwide view angle of the portable electronic device have been raised. Butthe optical image capturing system with the large aperture design oftenproduces more aberration, resulting in the deterioration of quality inperipheral image formation and difficulties of manufacturing, and theoptical image capturing system with wide view angle design increasesdistortion rate in image formation, thus the optical image capturingsystem in prior arts cannot meet the requirement of the higher ordercamera lens module.

Therefore, how to effectively increase quantity of incoming light andview angle of the optical lenses, not only further improves total pixelsand imaging quality for the image formation, but also considers theequity design of the miniaturized optical lenses, becomes a quiteimportant issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an opticalimage capturing system and an optical image capturing lens which usecombination of refractive powers, convex and concave surfaces offour-piece optical lenses (the convex or concave surface in thedisclosure denotes the geometrical shape of an image-side surface or anobject-side surface of each lens on an optical axis) to increase thequantity of incoming light of the optical image capturing system and theview angle of the optical lenses, and to improve total pixels andimaging quality for image formation, so as to be applied to minimizedelectronic products.

The term and its definition to the lens element parameter in theembodiment of the present invention are shown as below for furtherreference.

The lens element parameter related to a length or a height in the lenselement

The height of an image formed by the optical image capturing system isdenoted by HOI. The height of the optical image capturing system isdenoted by HOS. A distance from the object-side surface of the firstlens element to the image-side surface of the fourth lens element isdenoted by InTL. A distance from the image-side surface of the fourthlens element to an image plane is denoted by InB, where InTL+InB=HOS. Adistance from an aperture stop (aperture) to an image plane is denotedby InS. A distance from the first lens element to the second lenselement is denoted by In12 (example). A central thickness of the firstlens element of the optical image capturing system on the optical axisis denoted by TP1 (example).

The lens element parameter related to the material in the lens element

An Abbe number of the first lens element in the optical image capturingsystem is denoted by NA1 (example). A refractive index of the first lenselement is denoted by Nd1 (example).

The lens element parameter related to view angle in the lens element

A view angle is denoted by AF. Half of the view angle is denoted by HAF.A major light angle is denoted by MRA.

The lens element parameter related to exit/entrance pupil in the lenselement

An entrance pupil diameter of the optical image capturing system isdenoted by HEP. A maximum effective half diameter (EHD) of any surfaceof a single lens element refers to a perpendicular height between theoptical axis and an intersection point where the incident ray with themaximum view angle passes through the outmost edge of the entrance pupiland intersects with the surface of the lens element. For example, themaximum effective half diameter of the object-side surface of the firstlens element is denoted by EHD 11. The maximum effective half diameterof the image-side surface of the first lens element is denoted by EHD12. The maximum effective half diameter of the object-side surface ofthe second lens element is denoted by EHD 21. The maximum effective halfdiameter of the image-side surface of the second lens element is denotedby EHD 22. The maximum effective half diameters of any surfaces of otherlens elements in the optical image capturing system are denoted in thesimilar way.

The lens element parameter related to an arc length of the lens elementshape and an outline of surface

A length of the maximum effective half diameter outline curve at anysurface of a single lens element refers to an arc length of a curve,wherein the curve starts from an axial point on the surface of the lenselement, travels along the surface outline of the lens element, and endsat the point which defines the maximum effective half diameter; and thisarc length is denoted as ARS. For example, the length of the maximumeffective half diameter outline curve of the object-side surface of thefirst lens element is denoted as ARS11. The length of the maximumeffective half diameter outline curve of the image-side surface of thefirst lens element is denoted as ARS12. The length of the maximumeffective half diameter outline curve of the object-side surface of thesecond lens element is denoted as ARS21. The length of the maximumeffective half diameter outline curve of the image-side surface of thesecond lens element is denoted as ARS22. The lengths of the maximumeffective half diameter outline curve of any surface of other lenselements in the optical image capturing system are denoted in thesimilar way.

A length of ½ entrance pupil diameter (HEP) outline curve of any surfaceof a single lens element refers to an arc length of curve, wherein thecurve starts from an axial point on the surface of the lens element,travels along the surface outline of the lens element, and ends at acoordinate point on the surface where the vertical height from theoptical axis to the coordinate point is equivalent to ½ entrance pupildiameter; and the arc length is denoted as ARE. For example, the lengthof the ½ entrance pupil diameter (HEP) outline curve of the object-sidesurface of the first lens element is denoted as ARE11. The length of the½ entrance pupil diameter (HEP) outline curve of the image-side surfaceof the first lens element is denoted as ARE12. The length of the ½entrance pupil diameter (HEP) outline curve of the object-side surfaceof the second lens element is denoted as ARE21. The length of the ½entrance pupil diameter (HEP) outline curve of the image-side surface ofthe second lens element is denoted as ARE22. The lengths of the ½entrance pupil diameter (HEP) outline curve of any surface of the otherlens elements in the optical image capturing system are denoted in thesimilar way.

The lens element parameter related to a depth of the lens element shape

A distance paralleling an optical axis from a maximum effective halfdiameter position to an axial point on the object-side surface of thefourth lens element is denoted by InRS41 (example). A distanceparalleling an optical axis from a maximum effective half diameterposition to an axial point on the image-side surface of the fourth lenselement is denoted by InRS42 (example).

The lens element parameter related to the lens element shape

A critical point C is a tangent point on a surface of a specific lenselement, and the tangent point is tangent to a plane perpendicular tothe optical axis and the tangent point cannot be the axial point of thelens element surface. Furthermore, a perpendicular distance between acritical point C31 on the object-side surface of the third lens elementand the optical axis is HVT31 (example). A perpendicular distancebetween a critical point C32 on the image-side surface of the third lenselement and the optical axis is HVT32 (example). A perpendiculardistance between a critical point C41 on the object-side surface of thefourth lens element and the optical axis is HVT41 (example). Aperpendicular distance between a critical point C42 on the image-sidesurface of the fourth lens element and the optical axis is HVT42(example). The perpendicular distances between the critical point on theimage-side surface or object-side surface of other lens elements aredenoted in similar fashion.

The object-side surface of the fourth lens element has one inflectionpoint IF411 which is nearest to the optical axis, and the sinkage valueof the inflection point IF411 is denoted by SGI411. SGI411 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the object-side surface of the fourth lens element to theinflection point which is nearest to the optical axis on the object-sidesurface of the fourth lens element. A distance perpendicular to theoptical axis between the inflection point IF411 and the optical axis isHIF411 (example). The image-side surface of the fourth lens element hasone inflection point IF421 which is nearest to the optical axis and thesinkage value of the inflection point IF421 is denoted by SGI421(example). SGI421 is a horizontal shift distance paralleling the opticalaxis from an axial point on the image-side surface of the fourth lenselement to the inflection point which is nearest to the optical axis onthe image-side surface of the fourth lens element. A distanceperpendicular to the optical axis between the inflection point IF421 andthe optical axis is HIF421 (example).

The object-side surface of the fourth lens element has one inflectionpoint IF412 which is the second nearest to the optical axis and thesinkage value of the inflection point IF412 is denoted by SGI412(example). SGI412 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the second nearest to theoptical axis on the object-side surface of the fourth lens element. Adistance perpendicular to the optical axis between the inflection pointIF412 and the optical axis is HIF412 (example). The image-side surfaceof the fourth lens element has one inflection point IF422 which is thesecond nearest to the optical axis and the sinkage value of theinflection point IF422 is denoted by SGI422 (example). SGI422 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is second nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF4222 and the opticalaxis is HIF422 (example).

The object-side surface of the fourth lens element has one inflectionpoint IF413 which is the third nearest to the optical axis and thesinkage value of the inflection point IF413 is denoted by SGI413(example). SGI413 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the third nearest to theoptical axis on the object-side surface of the fourth d lens element. Adistance perpendicular to the optical axis between the inflection pointIF413 and the optical axis is HIF413 (example). The image-side surfaceof the fourth lens element has one inflection point IF423 which is thethird nearest to the optical axis and the sinkage value of theinflection point IF423 is denoted by SGI423 (example). SGI423 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is the third nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF423 and the opticalaxis is HIF423 (example).

The object-side surface of the fourth lens element has one inflectionpoint IF414 which is the fourth nearest to the optical axis and thesinkage value of the inflection point IF414 is denoted by SGI414(example). SGI414 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the fourth nearest to theoptical axis on the object-side surface of the fourth lens element. Adistance perpendicular to the optical axis between the inflection pointIF414 and the optical axis is HIF414 (example). The image-side surfaceof the fourth lens element has one inflection point IF424 which is thefourth nearest to the optical axis and the sinkage value of theinflection point IF424 is denoted by SGI424 (example). SGI424 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is the fourth nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF424 and the opticalaxis is HIF424 (example).

The inflection points on the object-side surface or the image-sidesurface of the other lens elements and the perpendicular distancesbetween them and the optical axis, or the sinkage values thereof aredenoted in the similar way described above.

The lens element parameter related to an aberration

Optical distortion for image formation in the optical image capturingsystem is denoted by ODT. TV distortion for image formation in theoptical image capturing system is denoted by TDT. Furthermore, the rangeof the aberration offset for the view of image formation may be limitedto 50%-100%. An offset of the spherical aberration is denoted by DFS. Anoffset of the coma aberration is denoted by DFC.

The transverse aberration of the edge of the aperture is defined as STOPTransverse Aberration (STA), which assesses the specific performance ofthe optical image capturing system. The tangential fan or sagittal fanmay be applied to calculate the STA of any fields of view, and inparticular, to calculate the STAs of the longest operation wavelength(e.g. 650 nm) and the shortest operation wavelength (e.g. 470 nm), whichserve as the standard of the performance. The aforementioned directionof the tangential fan can be further defined as the positive(overhead-light) and negative (lower-light) directions. The STA of themax operation wavelength is defined as the distance between the positionof the image formed when the max operation wavelength passing throughthe edge of the aperture strikes a specific field of view of the imageplane and the image position of the reference primary wavelength (e.g.wavelength of 555 nm) on specific field of view of the image plane.Whereas the STA of the shortest operation wavelength is defined as thedistance between the position of the image formed when the shortestoperation wavelength passing through the edge of the aperture strikes aspecific field of view of the image plane and the image position of thereference primary wavelength on a specific field of view of the imageplane. The criteria for the optical image capturing system to bequalified as having excellent performance may be set as: both STA of theincident longest operation wavelength and the STA of the incidentshortest operation wavelength at 70% of the field of view of the imageplane (i.e. 0.7 HOI) have to be less than 100 μm or even less than 80μm.

The optical image capturing system has a maximum image height HOI on theimage plane perpendicular to the optical axis. A transverse aberrationof the longest operation wavelength of visible light of a positivedirection tangential fan of the optical image capturing system passingthrough an edge of the entrance pupil and incident at the position of0.7 HOI on the image plane is denoted as PLTA. A transverse aberrationof the shortest operation wavelength of visible light of the positivedirection tangential fan of the optical image capturing system passingthrough the edge of the entrance pupil and incident at the position of0.7 HOI on the image plane is denoted as PSTA. A transverse aberrationof the longest operation wavelength of visible light of a negativedirection tangential fan of the optical image capturing system passingthrough the edge of the entrance pupil and incident at the position of0.7 HOI on the image plane is denoted as NLTA. A transverse aberrationof the shortest operation wavelength of visible light of a negativedirection tangential fan of the optical image capturing system passingthrough the edge of the entrance pupil and incident at the position of0.7 HOI on the image plane is denoted as NSTA. A transverse aberrationof the longest operation wavelength of visible light of a sagittal fanof the optical image capturing system passing through the edge of theentrance pupil and incident at the position of 0.7 HOI on the imageplane denoted as SLTA. A transverse aberration of the shortest operationwavelength of visible light of the sagittal fan of the optical imagecapturing system passing through the edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane is denoted asSSTA.

The disclosure provides an optical image capturing system, anobject-side surface or an image-side surface of the fourth lens elementmay have inflection points, such that the angle of incidence from eachfield of view to the fourth lens element can be adjusted effectively andthe optical distortion and the TV distortion can be corrected as well.Besides, the surfaces of the fourth lens element may have a betteroptical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in the orderfrom an object side to an image side including a first, second, thirdand fourth lens elements and an image plane. The first lens element hasrefractive power. Focal lengths of the first through fourth lenselements are f1, f2, f3 and f4 respectively. A focal length of theoptical image capturing system is f. An entrance pupil diameter of theoptical image capturing system is HEP. A distance on an optical axisfrom an object-side surface of the first lens element to the image planeis HOS. A distance on the optical axis from the object-side surface ofthe first lens element to the image-side surface of the fourth lenselement is InTL. Half of the maximum viewable angle of the optical imagecapturing system is denoted by HAF; an outline curve starting from anaxial point on any surface of any one of those lens elements, tracingalong the outline of the surface, ending at a coordinate point on thesurface that has a vertical height of ½ entrance pupil diameter from theoptical axis, has a length denoted by ARE. The following conditions aresatisfied: 1.0≦f/HEP≦10, 0 deg≦HAF≦150 deg, and 0.9≦2 (ARE/HEP)≦2.0.

The disclosure also provides an optical image capturing system, in anorder from an object side to an image side including a first, second,third and fourth lens elements and an image plane. The first lenselement has refractive power. The second lens element has refractivepower. The third lens element has refractive power. The fourth lenselement has refractive power. At least two lens elements among the firstto fourth lens elements respectively have at least one inflection pointon at least one surface thereof Δt least one of the second throughfourth lens elements has positive refractive power. Focal lengths of thefirst through fourth lens elements are f1, f2, f3 and f4 respectively. Afocal length of the optical image capturing system is f. An entrancepupil diameter of the optical image capturing system is HEP. A distanceon the optical axis from an object-side surface of the first lenselement to the image plane is HOS. A distance on the optical axis fromthe object-side surface of the first lens element to the image-sidesurface of the fourth lens element is InTL. Half of the maximum viewableangle of the optical image capturing system is denoted by HAF. Anoutline curve starting from an axial point on any surface of any one ofthose lens elements, tracing along the outline of the surface, ending ata coordinate point on the surface that has a vertical height of ½entrance pupil diameter from the optical axis is defined, and the lengthof the outline curve is denoted by ARE. The following conditions aresatisfied: 1.0≦f/HEP≦10, 0° (degree)≦HAF≦150° (deg), and 0.9≦2(ARE/HEP)≦2.0.

The disclosure further provides an optical image capturing system, in anorder from an object side to an image side including a first, second,third and fourth lens elements and an image plane. At least one of theobject-side surface and the image-side surface of the fourth lenselement has at least one inflection point, wherein there are four lenselements having refractive power in the optical image capturing system.The first lens element has refractive power. The second lens element hasrefractive power. The third lens element has refractive power. Thefourth lens element has refractive power. Focal lengths of the firstthrough fourth lens elements are f1, f2, f3 and f4 respectively. A focallength of the optical image capturing system is f. An entrance pupildiameter of the optical image capturing system is HEP. A distance on theoptical axis from an object-side surface of the first lens element tothe image plane is HOS. A distance on the optical axis from theobject-side surface of the first lens element to the image-side surfaceof the fourth lens element is InTL. Half of the maximum viewable angleof the optical image capturing system is denoted by HAF. An outlinecurve starting from an axial point on any surface of any one of thoselens elements, tracing along the outline of the surface, ending at acoordinate point on the surface that has a vertical height of ½ entrancepupil diameter from the optical axis is defined, and the length of theoutline curve is denoted by ARE. The following conditions are satisfied:1.0≦f/HEP≦10, 0° (degree)≦HAF≦150° (deg), and 0.9≦2 (ARE/HEP)≦2.0.

The length of the outline curve of any surface of single lens elementwithin the range of maximum effective half diameter affects theperformance in correcting the surface aberration and the optical pathdifference between the rays in each field of view. The longer outlinecurve may lead to a better performance in aberration correction, but thedifficulty of the production may become higher. Hence, the length of theoutline curve (ARS) of any surface of a single lens element within therange of the maximum effective half diameter has to be controlled, andespecially, the proportional relationship (ARS/TP) between the length ofthe outline curve (ARS) of the surface within the range of the maximumeffective half diameter and the central thickness (TP) of the lenselement to which the surface belongs on the optical axis has to becontrolled. For example, the length of the maximum effective halfdiameter outline curve of the object-side surface of the first lenselement is denoted as ARS11, and the central thickness of the first lenselement on the optical axis is TP1, and the ratio between both of themis ARS11/TP1. The length of the maximum effective half diameter outlinecurve of the image-side surface of the first lens element is denoted asARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The length ofthe maximum effective half diameter outline curve of the object-sidesurface of the second lens element is denoted as ARS21, and the centralthickness of the second lens element on the optical axis is TP2, and theratio between both of them is ARS21/TP2. The length of the maximumeffective half diameter outline curve of the image-side surface of thesecond lens element is denoted as ARS22, and the ratio between ARS22 andTP2 is ARS22/TP2. The proportional relationships between the lengths ofthe maximum effective half diameter outline curve of any surface of theother lens elements and the central thicknesses of the lens elements towhich the surfaces belong on the optical axis (TP) are denoted in thesimilar way.

The length of ½ entrance pupil diameter outline curve of any surface ofa single lens element especially affects the performance of the surfacein correcting the aberration in the shared region of each field of view,and the performance in correcting the optical path difference among eachfield of view. The longer outline curve may lead to a better function ofaberration correction, but the difficulty of the production may becomehigher. Hence, the length of ½ entrance pupil diameter outline curve ofany surface of a single lens element has to be controlled, andespecially, the proportional relationship between the length of ½entrance pupil diameter outline curve of any surface of a single lenselement and the central thickness on the optical axis has to becontrolled. For example, the length of the ½ entrance pupil diameteroutline curve of the object-side surface of the first lens element isdenoted as ARE11, and the central thickness of the first lens element onthe optical axis is TP1, and the ratio thereof is ARE11/TP1. The lengthof the ½ entrance pupil diameter outline curve of the image-side surfaceof the first lens element is denoted as ARE12, and the central thicknessof the first lens element on the optical axis is TP1, and the ratiothereof is ARE12/TP1. The length of the ½ entrance pupil diameteroutline curve of the object-side surface of the first lens element isdenoted as ARE21, and the central thickness of the second lens elementon the optical axis is TP2, and the ratio thereof is ARE21/TP2. Thelength of the ½ entrance pupil diameter outline curve of the image-sidesurface of the second lens element is denoted as ARE22, and the centralthickness of the second lens element on the optical axis is TP2, and theratio thereof is ARE22/TP2. The proportional relationship of theremaining lens elements of the optical image capturing system can becomputed in similar way.

The optical image capturing system described above may be configured toform the image on the image sensing device which is shorter than 1/1.2inch in diagonal length. The pixel size of the image sensing device issmaller than 1.4 micrometers (μm). Preferably the pixel size thereof issmaller than 1.12 micrometers (μm). The best pixel size thereof issmaller than 0.9 micrometers (μm). Furthermore, the optical imagecapturing system is applicable to the image sensing device with aspectratio of 16:9.

The optical image capturing system described above is applicable to thedemand of video recording with above millions or ten millions-pixels(e.g. 4K and 2K videos or the so-called UHD and QHD) and leads to a goodimaging quality.

The height of optical system (HOS) may be reduced to achieve theminimization of the optical image capturing system when the absolutevalue of f1 is larger than f1 (|f1|>f4).

When the relationship |f2|+|f3|>|f|+|f4| is satisfied, at least one ofthe second through third lens elements may have weak positive refractivepower or weak negative refractive power. The weak refractive powerindicates that an absolute value of the focal length of a specific lenselement is greater than 10. When at least one of the second throughthird lens elements has the weak positive refractive power, the positiverefractive power of the first lens element can be shared, such that theunnecessary aberration will not appear too early. On the contrary, whenat least one of the second and third lens elements has the weak negativerefractive power, the aberration of the optical image capturing systemcan be corrected and fine-tuned.

The fourth lens element may have negative refractive power, and theimage-side surface thereof may be a concave surface. With thisconfiguration, the back focal distance of the optical image capturingsystem may be shortened and the system may be minimized. Besides, atleast one surface of the fourth lens element may possess at least oneinflection point, which is capable of effectively reducing the incidentangle of the off-axis rays of the field of view, thereby furthercorrecting the off-axis aberration.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the presentdisclosure will now be described in more details hereinafter withreference to the accompanying drawings that show various embodiments ofthe present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing systemaccording to the first embodiment of the present invention.

FIG. 1B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the firstembodiment of the present invention.

FIG. 1C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thefirst embodiment of the present invention.

FIG. 2A is a schematic view of the optical image capturing systemaccording to the second embodiment of the present invention.

FIG. 2B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the secondembodiment of the present invention.

FIG. 2C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thesecond embodiment of the present invention.

FIG. 3A is a schematic view of the optical image capturing systemaccording to the third embodiment of the present invention.

FIG. 3B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the thirdembodiment of the present invention.

FIG. 3C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thethird embodiment of the present invention.

FIG. 4A is a schematic view of the optical image capturing systemaccording to the fourth embodiment of the present invention.

FIG. 4B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the fourthembodiment of the present invention.

FIG. 4C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thefourth embodiment of the present invention.

FIG. 5A is a schematic view of the optical image capturing systemaccording to the fifth embodiment of the present invention.

FIG. 5B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the fifthembodiment of the present invention.

FIG. 5C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thefifth embodiment of the present invention.

FIG. 6A is a schematic view of the optical image capturing systemaccording to the sixth embodiment of the present invention.

FIG. 6B shows the longitudinal spherical aberration curves, astigmaticfield curves, and an optical distortion grid of the optical imagecapturing system in the order from left to right according to the sixthembodiment of the present invention.

FIG. 6C is a transverse aberration diagram of the longest operationwavelength and the shortest operation wavelength for tangential fan andsagittal fan, wherein the longest operation wavelength and the shortestoperation wavelength pass through an edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane, according to thesixth embodiment of the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

An optical image capturing system, in the order from an object side toan image side, includes a first, second, third and fourth lens elementswith refractive power and an image plane. The optical image capturingsystem may further include an image sensing device which is disposed onan image plane.

The optical image capturing system may use three sets of operationwavelengths, which are 486.1 nm, 587.5 nm and 656.2 nm, respectively,wherein 587.5 nm is served as the primary reference wavelength and areference wavelength to obtain technical features of the optical system.The optical image capturing system may also use five sets of wavelengthswhich are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively,wherein 555 nm is served as the primary reference wavelength and areference wavelength to obtain technical features of the optical system.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each lens element with positive refractive power isPPR. A ratio of the focal length f of the optical image capturing systemto a focal length fn of each lens element with negative refractive poweris NPR. A sum of the PPR of all lens elements with positive refractivepowers is ΣPPR. A sum of the NPR of all lens elements with negativerefractive powers is ΣNPR. The total refractive power and the totallength of the optical image capturing system can be controlled easilywhen following conditions are satisfied: 0.5≦ΣPPR/|ΣNPR|≦4.5.Preferably, the following condition may be satisfied: 1≦ΣPPR/|ΣNPR|≦3.5.

The height of the optical image capturing system is HOS. When the valueof the ratio, i.e. HOS/f approaches 1, it would be easier to manufacturethe miniaturized optical image capturing system capable of ultra-highpixel image formation.

A sum of a focal length fp of each lens element with positive refractivepower is ΣPP. A sum of a focal length fn of each lens element withnegative refractive power is ΣNP. In one embodiment of the optical imagecapturing system of the present disclosure, the following conditions aresatisfied: 0<ΣPP≦200 and f1/ΣPP≦0.85. Preferably, the followingrelations may be satisfied: 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.7. As a result,the optical image capturing system will have better control over thefocusing, and the positive refractive power of the optical system can bedistributed appropriately, so as to suppress any premature formation ofnoticeable aberration.

The first lens element may have positive refractive power, and it has aconvex object-side surface. Hereby, the magnitude of the positiverefractive power of the first lens element can be fined-tuned, so as toreduce the total length of the optical image capturing system.

The second lens element may have negative refractive power. Hereby, theaberration generated by the first lens element can be corrected.

The third lens element may have positive refractive power. Hereby, thepositive refractive power of the first lens element can be shared.

The fourth lens element may have negative refractive power and a concaveimage-side surface. With this configuration, the back focal length isreduced in order to keep the size of the optical system small. Inaddition, at least one of the object-side surface and the image-sidesurface of the fourth lens element may have at least one inflectionpoint, which is capable of effectively reducing the incident angle ofthe off-axis rays of the field of view, thereby further correcting theoff-axis aberration. Preferably, each of the object-side surface and theimage-side surface may have at least one inflection point.

The optical image capturing system may further include an image sensingdevice which is disposed on an image plane. Half of a diagonal of aneffective detection field of the image sensing device (imaging height orthe maximum image height of the optical image capturing system) is HOI.A distance on the optical axis from the object-side surface of the firstlens element to the image plane is HOS. The following conditions aresatisfied: HOS/HOI≦3 and 0.5≦HOS/f≦3.0. Preferably, the followingrelations may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2. Hereby, theminiaturization of the optical image capturing system can be maintainedeffectively, so as to be carried by lightweight portable electronicdevices.

In addition, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperturestop may be a front or middle aperture. The front aperture is theaperture stop between a photographed object and the first lens element.The middle aperture is the aperture stop between the first lens elementand the image plane. If the aperture stop is the front aperture, alonger distance between the exit pupil and the image plane of theoptical image capturing system can be formed, such that more opticalelements can be disposed in the optical image capturing system and theefficiency of receiving images of the image sensing device can beraised. If the aperture stop is the middle aperture, the view angle ofthe optical image capturing system can be expended, such that theoptical image capturing system has the same advantage that is owned bywide angle cameras. A distance from the aperture stop to the image planeis InS. The following condition is satisfied: 0.5≦InS/HOS≦1.1.Preferably, the following relation may be satisfied: 0.8≦InS/HOS≦1.Hereby, features of maintaining the minimization for the optical imagecapturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance fromthe object-side surface of the first lens element to the image-sidesurface of the fourth lens element is InTL. A sum of central thicknessesof all lens elements with refractive power on the optical axis is ΣTP.The following condition is satisfied: 0.45≦ΣTP/InTL≦0.95. Preferably,the following relation may be satisfied: 0.6≦ΣTP/InTL≦0.9. Hereby,contrast ratio for the image formation in the optical image capturingsystem and defect-free rate for manufacturing the lens element can begiven consideration simultaneously, and a proper back focal length isprovided to dispose other optical components in the optical imagecapturing system.

A curvature radius of the object-side surface of the first lens elementis R1. A curvature radius of the image-side surface of the first lenselement is R2. The following condition is satisfied: 0.01≦|R1/R2|≦0.5.Hereby, the first lens element may have a suitable magnitude of positiverefractive power, so as to avoid the longitudinal spherical aberrationto increase too fast. Preferably, the following relation may besatisfied: 0.01≦|R1/R2|≦0.4.

A curvature radius of the object-side surface of the fourth lens elementis R9. A curvature radius of the image-side surface of the fourth lenselement is R10. The following condition is satisfied:−200<(R7−R8)/(R7+R8)<30. Hereby, the astigmatism generated by theoptical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element onthe optical axis is IN12. The following condition is satisfied:0<IN12/f≦0.25. Preferably, the following relation may be satisfied:0.01≦IN12/f≦0.20. Hereby, the chromatic aberration of the lens elementscan be improved, such that the performance can be increased.

A distance between the second lens element and the third lens element onthe optical axis is IN23. The following condition is satisfied:0<IN23/f≦0.25. Preferably, the following relation may be satisfied:0.01≦IN23/f≦0.20. Hereby, the performance of the lens elements can beimproved.

A distance between the third lens element and the fourth lens element onthe optical axis is IN34. The following condition is satisfied:0<IN34/f≦0.25. Preferably, the following relation may be satisfied:0.001≦IN34/f≦0.20. Hereby, the performance of the lens elements can beimproved.

Central thicknesses of the first lens element and the second lenselement on the optical axis are TP1 and TP2, respectively. The followingcondition is satisfied: 1≦(TP1+IN12)/TP2≦10. Hereby, the sensitivity ofthe optical image capturing system can be controlled, and theperformance can be increased.

Central thicknesses of the third lens element and the fourth lenselement on the optical axis are TP3 and TP4, respectively, and adistance between the aforementioned two lens elements on the opticalaxis is IN34. The following condition is satisfied:0.2≦(TP4+IN34)/TP4≦3. Hereby, the sensitivity of the optical imagecapturing system can be controlled and the total height of the opticalimage capturing system can be reduced.

A distance between the second lens element and the third lens element onthe optical axis is IN23. A total sum of distances from the first lenselement to the fourth lens element on the optical axis is ΣTP. Thefollowing condition is satisfied: 0.01≦IN23/(TP2+IN23+TP3)≦0.5.Preferably, the following relation may be satisfied:0.05≦IN23/(TP2+IN23+TP3)≦0.4. Hereby, the aberration generated when theincident light is travelling inside the optical system can be correctedslightly layer upon layer, and the total height of the optical imagecapturing system can be reduced.

In the optical image capturing system of the disclosure, a distanceparalleling an optical axis from a maximum effective diameter positionto an axial point on the object-side surface 142 of the fourth lenselement is InRS41 (InRS41 is positive if the horizontal displacement istoward the image-side surface, or InRS41 is negative if the horizontaldisplacement is toward the object-side surface). A distance parallelingan optical axis from a maximum effective diameter position to an axialpoint on the image-side surface 144 of the fourth lens element isInRS42. A central thickness of the fourth lens element 140 on theoptical axis is TP4. The following conditions are satisfied: −1mm≦InRS41≦1 mm, −1 mm≦InRS42≦1 mm, 1 mm≦|InRS41|+|InRS42|≦2 mm,0.01≦|InRS41|/TP4≦10 and 0.01≦|InRS42|/TP4≦10. Hereby, the maximumeffective diameter position between both surfaces of the fourth lenselement can be controlled, so as to facilitate the aberration correctionof peripheral field of view of the optical image capturing system andmaintain its miniaturization effectively.

In the optical image capturing system of the disclosure, a distanceparalleling an optical axis from an inflection point on the object-sidesurface of the fourth lens element which is nearest to the optical axisto an axial point on the object-side surface of the fourth lens elementis denoted by SGI411. A distance paralleling an optical axis from aninflection point on the image-side surface of the fourth lens elementwhich is nearest to the optical axis to an axial point on the image-sidesurface of the fourth lens element is denoted by SGI421. The followingconditions are satisfied: 0<SGI411/(SGI411+TP4)≦0.9 and0<SGI421/(SGI421+TP4)≦0.9. Preferably, the following relations may besatisfied: 0.01<SGI411/(SGI411+TP4)≦0.7 and0.01<SGI421/(SGI421+TP4)≦0.7.

A distance paralleling the optical axis from the inflection point on theobject-side surface of the fourth lens element which is the secondnearest to the optical axis to an axial point on the object-side surfaceof the fourth lens element is denoted by SGI412. A distance parallelingan optical axis from an inflection point on the image-side surface ofthe fourth lens element which is the second nearest to the optical axisto an axial point on the image-side surface of the fourth lens elementis denoted by SGI422. The following conditions are satisfied:0<SGI412/(SGI412+TP4)≦0.9 and 0<SGI422/(SGI422+TP4)≦0.9. Preferably, thefollowing relations may be satisfied: 0.1≦SGI412/(SGI412+TP4)≦0.8 and0.1≦SGI422/(SGI422+TP4)≦0.8.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which isnearest to the optical axis and the optical axis is denoted by HIF411. Adistance perpendicular to the optical axis between an inflection pointon the image-side surface of the fourth lens element which is nearest tothe optical axis and an axial point on the image-side surface of thefourth lens element is denoted by HIF421. The following conditions aresatisfied: 0.01≦HIF411/HOI≦0.9 and 0.01≦HIF421/HOI≦0.9. Preferably, thefollowing relations may be satisfied: 0.09≦HIF411/HOI≦0.5 and0.09≦HIF421/HOI≦0.5.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thesecond nearest to the optical axis and the optical axis is denoted byHIF412. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the second nearest to the optical axis is denoted by HIF422.The following conditions are satisfied: 0.01≦HIF412/HOI≦0.9 and0.01≦HIF422/HOI≦0.9. Preferably, the following relations may besatisfied: 0.09≦HIF412/HOI≦0.8 and 0.09 HIF422/HOI≦0.8.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thethird nearest to the optical axis and the optical axis is denoted byHIF413. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the third nearest to the optical axis is denoted by HIF423. Thefollowing conditions are satisfied: 0.001 mm≦|HIF413|≦5 mm and 0.001mm≦|HIF423|≦5 mm. Preferably, the following relations may be satisfied:0.1 mm≦|HIF423|≦3.5 mm and 0.1 mm≦|HIF413|≦3.5 mm.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thefourth nearest to the optical axis and the optical axis is denoted byHIF414. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the fourth nearest to the optical axis is denoted by HIF424.The following conditions are satisfied: 0.001 mm≦|HIF414|≦5 mm and 0.001mm≦|HIF424|≦5 mm. Preferably, the following relations may be satisfied:0.1 mm≦|HIF424|≦3.5 mm and 0.1 mm≦|HIF414|≦3.5 mm.

In one embodiment of the optical image capturing system of the presentdisclosure, the chromatic aberration of the optical image capturingsystem can be corrected by alternatively arranging the lens elementswith large Abbe number and small Abbe number.

The equation for the aforementioned aspheric surface is:

z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5) ]+A ₄ h ⁴ +A ₆ h ⁶ +A ₈ h ⁸ +A ₁₀ h ¹⁰+A ₁₂ h ¹² +A ₁₄ h ¹⁴ +A ₁₆ h ¹⁶ +A ₁₈ h ¹⁸ +A ₂₀ h ²⁰+ . . .  (1),

where z is a position value of the position along the optical axis andat the height h which reference to the surface apex; k is the coniccoefficient, c is the reciprocal of curvature radius, and A₄, A₆, A₈,A₁₀, A₁₂, A₁₄, A₁₆, A₁₈, and A₂₀ are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lenselements may be made of glass or plastic material. If plastic materialis adopted to produce the lens elements, the cost of manufacturing aswell as the weight of the lens element can be reduced effectively. Iflens elements are made of glass, the heat effect can be controlled andthe room for adjustment of the refractive power of the optical imagecapturing system can be increased. Besides, the object-side surface andthe image-side surface of the first through fourth lens elements may beaspheric, which provides more control variables, such that the number oflens elements used can be reduced in contrast to traditional glass lenselement, and the aberration can be reduced too. Thus, the total heightof the optical image capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by thedisclosure, if the lens element has a convex surface, the surface of thelens element adjacent to the optical axis is convex. If the lens elementhas a concave surface, the surface of the lens element adjacent to theoptical axis is concave.

Besides, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

The optical image capturing system of the disclosure can be adapted tothe optical image capturing system with automatic focus if required.With the features of a good aberration correction and a high quality ofimage formation, the optical image capturing system can be used invarious applications.

The optical image capturing system of the disclosure can include adriving module according to the actual requirements. The driving modulemay be coupled with the lens elements and enables the movement of thelens elements. The driving module described above may be the voice coilmotor (VCM) which is applied to move the lens to focus, or may be theoptical image stabilization (OIS) which is applied to reduce thefrequency the optical system is out of focus owing to the vibration ofthe lens during photo or video shooting.

At least one lens element among the first lens element, the second lenselement, the third lens element and the fourth lens element of theoptical image capturing system of the present disclosure may be a lightfiltering element which has a wavelength less than 500 nm according tothe actual requirements. The light filtering element may be made bycoating film on at least one surface of the lens element with thespecific filtration function or the lens element per se is designed withthe material which is able to filter the short wavelength.

The image plane of the optical image capturing system of the presentdisclosure may be a plane or a curved surface, depending on the designrequirement. When the image plane is a curved surface (e.g. a sphericalsurface with curvature radius), the incident angle required such thatthe rays are focused on the image plane can be reduced. As such, thelength of the optical image capturing system (TTL) can be minimized, andthe relative illumination may be improved as well.

According to the above embodiments, the specific embodiments withfigures are presented in detail as below.

The First Embodiment

Please refer to FIG. 1A to FIG. 1C. FIG. 1A is a schematic view of theoptical image capturing system according to the first embodiment of thepresent invention. FIG. 1B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and an optical distortion grid of theoptical image capturing system in the order from left to right accordingto the first embodiment of the present invention. FIG. 1C is atransverse aberration diagram of the longest operation wavelength andthe shortest operation wavelength for tangential fan and sagittal fan,wherein the longest operation wavelength and the shortest operationwavelength pass through an edge of the entrance pupil and incident atthe position of 0.7 HOI on the image plane, according to the firstembodiment of the present invention. As shown in FIG. 1A, in the orderfrom an object side to an image side, the optical image capturing systemincludes an aperture stop 100, a first lens element 110, a second lenselement 120, a third lens element 130, a fourth lens element 140, anIR-bandstop filter 170, an image plane 180, and an image sensing device190.

The first lens element 110 has positive refractive power and it is madeof plastic material. The first lens element 110 has a convex object-sidesurface 112 and a concave image-side surface 114, and both of theobject-side surface 112 and the image-side surface 114 are aspheric andhave an inflection point. The length of outline curve of the maximumeffective half diameter of the object-side surface of the first lenselement is denoted as ARS11. The length of outline curve of the maximumeffective half diameter of the image-side surface of the first lenselement is denoted as ARS12. The length of outline curve of ½ entrancepupil diameter (HEP) of the object-side surface of the first lenselement is denoted as ARE11, and the length of outline curve of ½entrance pupil diameter (HEP) of the image-side surface of the firstlens element is denoted as ARE12. The thickness of the first lenselement on the optical axis is TP1.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the first lens element which is nearest to theoptical axis to an axial point on the object-side surface of the firstlens element is denoted by SGI111. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the firstlens element which is nearest to the optical axis to an axial point onthe image-side surface of the first lens element is denoted by SGI121.The following conditions are satisfied: SGI111=0.2008 mm, SGI121=0.0113mm, |SGI111|/(|SGI111|+TP1)=0.3018 and |SGI121|/(|SGI121|+TP1)=0.0238.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the first lens element which is nearest tothe optical axis to an axial point on the object-side surface of thefirst lens element is denoted by HIF111. A distance perpendicular to theoptical axis from the inflection point on the image-side surface of thefirst lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the first lens element is denoted byHIF121. The following conditions are satisfied: HIF111=0.7488 mm,HIF121=0.4451 mm, HIF111/HOI=0.2552 and HIF121/HOI=0.1517.

The second lens element 120 has positive refractive power and it is madeof plastic material. The second lens element 120 has a concaveobject-side surface 122 and a convex image-side surface 124, and both ofthe object-side surface 122 and the image-side surface 124 are aspheric.The object-side surface 122 has an inflection point. The length ofoutline curve of the maximum effective half diameter of the object-sidesurface of the second lens element is denoted as ARS21, and the lengthof outline curve of the maximum effective half diameter of theimage-side surface of the second lens element is denoted as ARS22. Thelength of outline curve of ½ entrance pupil diameter (HEP) of theobject-side surface of the second lens element is denoted as ARE21, andthe length of outline curve of ½ entrance pupil diameter (HEP) of theimage-side surface of the second lens element is denoted as ARE22. Thethickness of the second lens element on the optical axis is TP2.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the second lens element which is nearest to theoptical axis to an axial point on the object-side surface of the secondlens element is denoted by SGI211. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the secondlens element which is nearest to the optical axis to an axial point onthe image-side surface of the second lens element is denoted by SGI221.The following conditions are satisfied: SGI211=−0.1791 mm and|SGI211|/(|SGI211|+TP2)=0.3109.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the second lens element which is nearestto the optical axis to an axial point on the object-side surface of thesecond lens element is denoted by HIF211. A distance perpendicular tothe optical axis from the inflection point on the image-side surface ofthe second lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted byHIF221. The following conditions are satisfied: HIF211=0.8147 mm andHIF211/HOI=0.2777.

The third lens element 130 has negative refractive power and it is madeof plastic material. The third lens element 130 has a concaveobject-side surface 132 and a convex image-side surface 134, and both ofthe object-side surface 132 and the image-side surface 134 are aspheric.The image-side surface 134 has an inflection point. The length ofoutline curve of the maximum effective half diameter position of theobject-side surface of the third lens element is denoted as ARS31, andthe length of outline curve of the maximum effective half diameterposition of the image-side surface of the third lens element is denotedas ARS32. The length of outline curve of a ½ entrance pupil diameter(HEP) of the object-side surface of the third lens element is denoted asARE31, and the length of outline curve of the ½ entrance pupil diameter(HEP) of the image-side surface of the third lens element is denoted asARE32. The central thickness of the third lens element on the opticalaxis is TP3.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the third lens element which is nearest to theoptical axis to an axial point on the object-side surface of the thirdlens element is denoted by SGI311. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the thirdlens element which is nearest to the optical axis to an axial point onthe image-side surface of the third lens element is denoted by SGI321.The following relationship are satisfied: SGI321=−0.1647 mm;|SGI321|/(|SGI321|+TP3)=0.1884.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the third lens element which isnearest to the optical axis and the optical axis is denoted by HIF311. Adistance perpendicular to the optical axis from the inflection point onthe image-side surface of the third lens element which is nearest to theoptical axis to an axial point on the image-side surface of the thirdlens element is denoted by HIF321. The following conditions aresatisfied: HIF321=0.7269 mm and HIF321/HOI=0.2477.

The fourth lens element 140 has negative refractive power and it is madeof plastic material. The fourth lens element 140 has a convexobject-side surface 142 and a concave image-side surface 144; both ofthe object-side surface 142 and the image-side surface 144 are aspheric.The object-side surface 142 thereof has two inflection points while theimage-side surface 144 thereof has an inflection point. The length ofthe maximum effective half diameter outline curve of the object-sidesurface of the fourth lens element is denoted as ARS41, and the lengthof the maximum effective half diameter outline curve of the image-sidesurface of the fourth lens element is denoted as ARS42. The length of ½entrance pupil diameter (HEP) outline curve of the object-side surfaceof the fourth lens element is denoted as ARE41, and the length of the ½entrance pupil diameter (HEP) outline curve of the image-side surface ofthe fourth lens element is denoted as ARS42. The central thickness ofthe fourth lens element on the optical axis is TP4.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the fourth lens element which is nearest to theoptical axis to an axial point on the object-side surface of the fourthlens element is denoted by SGI411. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the fourthlens element which is nearest to the optical axis to an axial point onthe image-side surface of the fourth lens element is denoted by SGI421.The following conditions are satisfied: SGI411=0.0137 mm, SGI421=−0.0922mm, |SGI411|/(|SGI411|+TP4)=0.0155 and |SGI421|/(|SGI421|+TP4)=0.0956.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the fourth lens element which is the secondnearest to the optical axis to an axial point on the object-side surfaceof the fourth lens element is denoted by SGI412. The followingconditions are satisfied: SGI412=−0.1518 mm and|SGI412|/(|SGI412|+TP4)=0.1482.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which isnearest to the optical axis and the optical axis is denoted by HIF411. Adistance perpendicular to the optical axis between the inflection pointon the image-side surface of the fourth lens element which is nearest tothe optical axis and the optical axis is denoted by HIF421. Thefollowing conditions are satisfied: HIF411=0.2890 mm, HIF421=0.5794 mm,HIF411/HOI=0.0985 and HIF421/HOI=0.1975.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which issecond nearest to the optical axis and the optical axis is denoted byHIF412. The following conditions are satisfied: HIF412=1.3328 mm andHIF412/HOI=0.4543.

The IR-bandstop filter 170 is made of glass material and is disposedbetween the fourth lens element 140 and the image plane 180 withoutaffecting the focal length of the optical image capturing system.

In the optical image capturing system of the first embodiment, a focallength of the optical image capturing system is f, an entrance pupildiameter of the optical image capturing system is HEP, and half of amaximal view angle of the optical image capturing system is HAF. Thedetailed parameters are shown as below: f=3.4375 mm, f/HEP=2.23,HAF=39.69° and tan(HAF)=0.8299.

In the optical image capturing system of the first embodiment, a focallength of the first lens element 110 is f1 and a focal length of thefourth lens element 140 is f4. The following conditions are satisfied:f1=3.2736 mm, |f/f1|=1.0501, f4=−8.3381 mm and |f1/f4|=0.3926.

In the optical image capturing system of the first embodiment, a focallength of the second lens element 120 is f2 and a focal length of thethird lens element 130 is f3. The following conditions are satisfied:|f2|+|f3|=10.0976 mm, |f1|+|f4|=11.6116 mm and |f2|+f3|<|f1|+|f4|.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each of lens elements with positive refractive powersis PPR. A ratio of the focal length f of the optical image capturingsystem to a focal length fn of each of lens elements with negativerefractive powers is NPR. In the optical image capturing system of thefirst embodiment, a sum of the PPR of all lens elements with positiverefractive powers is ΣPPR=|f/f1|+|f/f2|=1.95585. A sum of the NPR of alllens elements with negative refractive powers isΣNPR=|f/f3|+|f/f4|=0.95770, ΣPPR/|ΣNPR|=2.04224. The followingconditions are also satisfied: |f/f1|=1.05009, |f/f2|=0.90576,|f/f3|=0.54543 and |f/f4|=0.41227.

In the optical image capturing system of the first embodiment, adistance from the object-side surface 112 of the first lens element tothe image-side surface 144 of the fourth lens element is InTL. Adistance from the object-side surface 112 of the first lens element tothe image plane 180 is HOS. A distance from an aperture 100 to an imageplane 180 is InS. Half of a diagonal length of an effective detectionfield of the image sensing device 190 is HOI. A distance from theimage-side surface 144 of the fourth lens element to an image plane 180is InB. The following conditions are satisfied: InTL+InB=HOS, HOS=4.4250mm, HOI=2.9340 mm, HOS/HOI=1.5082, HOS/f=1.2873; InTL/HOS=0.7191,InS=4.2128 mm and InS/HOS=0.95204.

In the optical image capturing system of the first embodiment, the sumof central thicknesses of all lens elements with refractive power on theoptical axis is ΣTP. The following conditions are satisfied: ΣTP=2.4437mm and ΣTP/InTL=0.76793. Therefore, both contrast ratio for the imageformation in the optical image capturing system and yield rate of themanufacturing process of the lens element can be balanced, and a properback focal length is provided to dispose other optical components in theoptical image capturing system.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 112 of the first lenselement is R1. A curvature radius of the image-side surface 114 of thefirst lens element is R2. The following condition is satisfied:|R1/R2|=0.1853. Hereby, the first lens element has a suitable magnitudeof the positive refractive power, so as to prevent the sphericalaberration from increasing too fast.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 142 of the fourth lenselement is R7. A curvature radius of the image-side surface 144 of thefourth lens element is R8. The following condition is satisfied:(R7−R8)/(R7+R8)=0.2756. As such, the astigmatism generated by theoptical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, the focallengths for the first lens element 110 and the second lens element 120are respectively f1 and f2. The sum of the focal lengths for all lenselements having positive refractive power is ΣPP, which satisfies thefollowing conditions: ΣPP=f1+f2=7.0688 mm and f1/(f1+f2)=0.4631.Therefore, the positive refractive power of the first lens element 110may be distributed to other lens elements with positive refractive powerappropriately, so as to suppress noticeable aberrations generated whenthe incident light is tracing along the optical system.

In the optical image capturing system of the first embodiment, the focallengths for the third lens element 130 and the fourth lens element 140are respectively f3 and f4. The sum of the focal lengths for all lenselements having negative refractive power is ΣNP, which satisfies thefollowing conditions: ΣNP=f3+f4=−14.6405 mm and f4/(f2+f4)=0.5695.Therefore, the negative refractive power of the fourth lens element maybe distributed to other lens elements with negative refractive powerappropriately, so as to suppress noticeable aberrations generated whenthe incident light is tracing along the optical system.

In the optical image capturing system of the first embodiment, adistance between the first lens element 110 and the second lens element120 on the optical axis is IN12. The following conditions are satisfied:IN12=0.3817 mm and IN12/f=0.11105. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance of theoptical system is increased.

In the optical image capturing system of the first embodiment, adistance between the second lens element 120 and the third lens element130 on the optical axis is IN23. The following conditions are satisfied:IN23=0.0704 mm and IN23/f=0.02048. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance of theoptical system is increased.

In the optical image capturing system of the first embodiment, adistance between the third lens element 130 and the fourth lens element140 on the optical axis is IN34. The following conditions are satisfied:IN34=0.2863 mm and IN34/f =0.08330. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance of theoptical system is increased.

In the optical image capturing system of the first embodiment, centralthicknesses of the first lens element 110 and the second lens element120 on the optical axis are TP1 and TP2, respectively. The followingconditions are satisfied: TP1=0.46442 mm, TP2=0.39686 mm,TP1/TP2=1.17023 and (TP1+IN12)/TP2=2.13213. Hereby, the sensitivity ofthe optical image capturing system can be controlled, and theperformance thereof can be increased.

In the optical image capturing system of the first embodiment, centralthicknesses of the third lens element 130 and the fourth lens element140 on the optical axis are TP3 and TP4, respectively. The separationdistance between the third lens element 130 and the fourth lens element140 on the optical axis is IN34. The following conditions are satisfied:TP3=0.70989 mm, TP4=0.87253 mm, TP3/TP4=0.81359 and(TP4+IN34)/TP3=1.63248. Hereby, the sensitivity of the optical imagecapturing system can be controlled, and the performance thereof can beincreased.

In the optical image capturing system of the first embodiment, thefollowing relations are satisfied: IN23/(TP2+IN23+TP3)=0.05980. Hereby,the aberration generated when the incident light is travelling insidethe optical system can be corrected slightly layer upon layer, and thetotal height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, adistance paralleling an optical axis from a maximum effective diameterposition to an axial point on the object-side surface 142 of the fourthlens element is InRS41. A distance paralleling an optical axis from amaximum effective diameter position to an axial point on the image-sidesurface 144 of the fourth lens element is InRS42. A central thickness ofthe fourth lens element 140 is TP4. The following conditions aresatisfied: InRS41=−0.23761 mm, InRS42=−0.20206 mm, InRS41+InRS42=0.43967mm, InRS41/TP4=0.27232 and InRS42/TP4=0.23158. Hereby, it is favorableto the manufacturing and foaming of the lens element, while maintainingthe minimization for the optical image capturing system.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C41on the object-side surface 142 of the fourth lens element and theoptical axis is HVT41. A distance perpendicular to the optical axisbetween a critical point C42 on the image-side surface 144 of the fourthlens element and the optical axis is HVT42. The following conditions aresatisfied: HVT41=0.5695 mm, HVT42=1.3556 mm and HVT41/HVT42=0.4201. Withthis configuration, the off-axis aberration could be correctedeffectively.

In the optical image capturing system of the first embodiment, thefollowing condition is satisfied: HVT42/HOI=0.4620. As such, theaberration at the surrounding field of view of the optical imagecapturing system may be corrected effectively.

In the optical image capturing system of the first embodiment, thefollowing condition is satisfied: HVT42/HOS=0.3063. As such, theaberration at the surrounding field of view of the optical imagecapturing system may be corrected effectively.

In the optical image capturing system of the first embodiment, the Abbenumber of the first lens element is NA1. The Abbe number of the secondlens element is NA2. The Abbe number of the third lens element is NA3.The Abbe number of the fourth lens element is NA4. The followingconditions are satisfied: |NA1−NA2|=0 and NA3/NA2=0.39921. Hereby, thechromatic aberration of the optical image capturing system can becorrected.

In the optical image capturing system of the first embodiment, TVdistortion and optical distortion for image formation in the opticalimage capturing system are TDT and ODT, respectively. The followingconditions are satisfied: |TDT|=0.4% and |ODT|=2.5%.

In the optical image capturing system of the first embodiment, thetransverse aberration of the longest operation wavelength of a positivedirection tangential fan passing through the edge of the aperture andincident at the position of 0.7 field of view on the image plane isdenoted as PLTA, which is 0.001 mm (pixel size is 1.12 μm). Thetransverse aberration of the shortest operation wavelength of a positivedirection tangential fan passing through the edge of the aperture andincident at the position of 0.7 field of view on the image plane isdenoted as PSTA, which is 0.004 mm (pixel size is 1.12 μm). Thetransverse aberration of the longest operation wavelength of thenegative direction tangential fan passing through the edge of theaperture and incident at the position of 0.7 field of view on the imageplane is denoted as NLTA, which is 0.003 mm (pixel size is 1.12 μm). Thetransverse aberration of the shortest operation wavelength of thenegative direction tangential fan passing through the edge of theaperture and incident at the position of 0.7 field of view on the imageplane is denoted as NSTA, which is −0.003 mm (pixel size is 1.12 μm).The transverse aberration of the longest operation wavelength of thesagittal fan passing through the edge of the aperture and incident atthe position of 0.7 field of view on the image plane is denoted as SLTA,which is 0.003 mm (pixel size is 1.12 μm). The transverse aberration ofthe shortest operation wavelength of the sagittal fan passing throughthe edge of the aperture and incident at the position of 0.7 field ofview on the image plane is denoted as SSTA, which is 0.004 mm (pixelsize is 1.12 μm).

Table 1 and Table 2 below should be incorporated into the reference ofthe present embodiment.

TABLE 1 Lens Parameters for the First Embodiment f(focal length) =3.4375 mm; f/HEP = 2.23; HAF(half angle of view) = 39.6900 deg; tan(HAF)= 0.8299 Surface Central Refractive Abbe Focal No. Curvature RadiusThickness Material Index Number Length 0 Object Plane ∞ 1 Lens 1/1.466388 0.464000 Plastic 1.535 56.07 3.274 Aperture stop 2 7.9144800.382000 3 Lens 2 −5.940659 0.397000 Plastic 1.535 56.07 3.795 4−1.551401 0.070000 5 Lens 3 −0.994576 0.710000 Plastic 1.642 22.46−6.302 6 −1.683933 0.286000 7 Lens 4 2.406736 0.873000 Plastic 1.53556.07 −8.338 8 1.366640 0.213000 9 IR- Plane 0.210000 BK7_SCHOTT 1.51764.13 bandstop filter 10 Plane 0.820000 11 Image Plane plane Referencewavelength (d-line) = 555 nm; Shield Position: The 8^(th) surface withclear aperture of 2.320 mm

TABLE 2 Aspheric Coefficients of the First Embodiment Table 2: AsphericCoefficients Surface No. 1 2 3 4 k = −1.595426E+00 −7.056632E+00−2.820679E+01 −1.885740E+00 A₄ = −4.325520E−04 −2.633963E−02−1.367865E−01 −9.745260E−02 A₆ = 1.103749E+00 2.088207E−02 3.135755E−01−1.032177E+00 A₈ = −8.796867E+00 −1.122861E−01 −6.149514E+008.016230E+00 A₁₀ = 3.981982E+01 −7.137813E−01 3.883332E+01 −4.215882E+01A₁₂ = −1.102573E+02 2.236312E+00 −1.463622E+02 1.282874E+02 A₁₄ =1.900642E+02 −2.756305E+00 3.339863E+02 −2.229568E+02 A₁₆ =−2.000279E+02 1.557080E+00 −4.566510E+02 2.185571E+02 A₁₈ = 1.179848E+02−2.060190E+00 3.436469E+02 −1.124538E+02 A₂₀ = −3.023405E+012.029630E+00 −1.084572E+02 2.357571E+01 Surface No. 5 6 7 8 k =1.013988E−01 −3.460337E+01 −4.860907E+01 −7.091499E+00 A₄ = 2.504976E−01−9.580611E−01 −2.043197E−01 −8.148585E−02 A₆ = −1.640463E+003.303418E+00 6.516636E−02 3.050566E−02 A₈ = 1.354700E+01 −8.544412E+004.863926E−02 −8.218175E−03 A₁₀ = −6.223343E+01 1.602487E+01−7.086809E−02 1.186528E−03 A₁₂ = 1.757259E+02 −2.036011E+01 3.815824E−02−1.305021E−04 A₁₄ = −2.959459E+02 1.703516E+01 −1.032930E−022.886943E−05 A₁₆ = 2.891641E+02 −8.966359E+00 1.413303E−03 −6.459004E−06A₁₈ = −1.509364E+02 2.684766E+00 −8.701682E−05 6.571792E−07 A₂₀ =3.243879E+01 −3.481557E−01 1.566415E−06 −2.325503E−08

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 1 and Table 2:

First Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.771 0.808 0.037104.77% 0.464 173.90% 12 0.771 0.771 0.000 99.99% 0.464 165.97% 21 0.7710.797 0.026 103.38% 0.397 200.80% 22 0.771 0.828 0.057 107.37% 0.397208.55% 31 0.771 0.832 0.061 107.97% 0.710 117.25% 32 0.771 0.797 0.026103.43% 0.710 112.32% 41 0.771 0.771 0.000 100.05% 0.873 88.39% 42 0.7710.784 0.013 101.69% 0.873 89.84% ARS EHD ARS value ARS − EHD (ARS/EHD) %TP ARS/TP (%) 11 0.771 0.808 0.037 104.77% 0.464 173.90% 12 0.812 0.8140.002 100.19% 0.464 175.25% 21 0.832 0.877 0.045 105.37% 0.397 220.98%22 0.899 1.015 0.116 112.95% 0.397 255.83% 31 0.888 0.987 0.098 111.07%0.710 138.98% 32 1.197 1.237 0.041 103.41% 0.710 174.31% 41 1.642 1.6890.046 102.81% 0.873 193.53% 42 2.320 2.541 0.221 109.54% 0.873 291.23%

Table 1 is the detailed structural data to the first embodiment in FIG.1A, wherein the unit for the curvature radius, the central thickness,the distance, and the focal length is millimeters (mm) Surfaces 0-11illustrate the surfaces from the object side to the image plane in theoptical image capturing system. Table 2 shows the aspheric coefficientsof the first embodiment, wherein k is the conic coefficient in theaspheric surface equation, and A₁-A₂₀ are respectively the first to thetwentieth order aspheric surface coefficients. Besides, the tables inthe following embodiments correspond to the schematic view and theaberration graphs, respectively, and definitions of parameters in thesetables are similar to those in the Table 1 and the Table 2, so therepetitive details will not be given here.

Second Embodiment

Please refer to FIG. 2A, FIG. 2B and FIG. 2C. FIG. 2A is a schematicview of the optical image capturing system according to the secondembodiment of the present invention. FIG. 2B shows the longitudinalspherical aberration curves, astigmatic field curves, and an opticaldistortion grid of the optical image capturing system of the secondembodiment, in the order from left to right. FIG. 2C is a transverseaberration diagram of the longest operation wavelength and the shortestoperation wavelength for tangential fan and sagittal fan, wherein thelongest operation wavelength and the shortest operation wavelength passthrough an edge of the aperture stop and incident at the position of 0.7HOI on the image plane, according to optical image capturing system ofthe second embodiment. As shown in FIG. 2A, in the order from an objectside to an image side, the optical image capturing system includes afirst lens element 210, an aperture stop 200, a second lens element 220,a third lens element 230, a fourth lens element 240, an IR-bandstopfilter 270, an image plane 280, and an image sensing device 290.

The first lens element 210 has negative refractive power and is made ofplastic material. The first lens element 210 has a convex object-sidesurface 212 and a concave image-side surface 214, and both object-sidesurface 212 and image-side surface 214 are aspheric. The object-sidesurface 212 thereof has an inflection point.

The second lens element 220 has positive refractive power and is made ofplastic material. The second lens element 220 has a convex object-sidesurface 222 and a convex image-side surface 224, and both object-sidesurface 222 and image-side surface 224 are aspheric.

The third lens element 230 has positive refractive power and is made ofplastic material. The third lens element 230 has a convex object-sidesurface 232 and a convex image-side surface 234, and both object-sidesurface 232 and image-side surface 234 are aspheric. The object-sidesurface 232 thereof has two inflection points while the image-sidesurface 234 thereof has an inflection point.

The fourth lens element 240 has negative refractive power and is made ofplastic material. The fourth lens element 240 has a concave object-sidesurface 242 and a concave image-side surface 244, and both object-sidesurface 242 and image-side surface 244 are aspheric. The image-sidesurface 244 thereof has an inflection point.

The IR-bandstop filter 270 is made of glass material and is disposedbetween the fourth lens element 240 and the image plane 280, withoutaffecting the focal length of the optical image capturing system.

Table 3 and Table 4 below should be incorporated into the reference ofthe present embodiment

TABLE 3 Lens Parameters for the Second Embodiment f(focal length) =3.04877 mm; f/HEP = 1.0; HAF(half angle of view) = 42.4981 deg SurfaceThickness Refractive Abbe Focal No. Curvature Radius (mm) Material IndexNumber Length 0 Object 1E+18 1E+13 1 Lens 1 9.849837174 4.434 Plastic1.530 55.80 −10.923391 2 3.082824404 12.633 3 Aperture 1E+18 −0.828 Stop4 Lens 2 5.751414794 4.884 Plastic 1.565 58.00 5.913076 5 −5.5641854150.050 6 Lens 3 6.451923165 2.050 Plastic 1.565 58.00 6.546736 7−7.729181467 0.078 8 Lens 4 −5.087872701 2.536 Plastic 1.661 20.40−5.71156 9 18.16482235 0.450 10 IR- 1E+18 0.850 BK7_SCHOTT 1.517 64.13bandstop filter 11 1E+18 0.550 12 Image 1E+18 −0.003 plane Referencewavelength = 555 nm

TABLE 4 The Aspheric Coefficients of the Second Embodiment Table 4:Aspheric Coefficients Surface No. 1 2 4 5 k = −2.239375E−01−9.997749E−01 9.665902E−03 −2.743608E+00 A4 = 4.110823E−05 2.864488E−03−7.339949E−04 3.925685E−04 A6= −2.372430E−06 5.856089E−05 −4.437352E−05−6.388903E−05 A8 = 7.277639E−08 9.256187E−07 1.371918E−06 3.504802E−06A10= −9.700335E−10 4.529687E−07 −1.270303E−07 −5.082157E−08 A12 =0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9k = −5.533981E+00 −6.476812E−01 −9.687854E+00 2.601692E+01 A₄ =3.754725E−04 −1.649180E−03 2.445680E−03 1.573966E−02 A₆ = −2.271689E−046.186752E−05 −3.169853E−04 −5.828513E−04 A₈ = −9.137401E−06−7.840983E−06 1.253882E−05 −1.251600E−04 A₁₀ = 1.212839E−06 5.352954E−07−4.006837E−07 6.362923E−06 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00

In the second embodiment, the presentation of the aspheric surfaceequation is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are similar to those inthe first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 3 and Table 4.

Second Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42HVT41 HVT42 ODT % TDT % −0.59249  0.52337 0.00000 0.00000 −10.44760 10.32060  | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 |0.27910 0.51560 0.46569 0.53379 1.84733 0.90321 ΣPPR ΣNPR ΣPPR/| Σ NPR |ΣPP ΣNP f1/ΣPP 1.04939 0.74480 1.40896 0.20152 −4.37666  −28.34240 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f 2.49583 3.87195 0.01640 0.025590.67241 0.83166 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 25.83600 27.68300  11.07320  0.38350 0.93328 0.53814 (TP1 + IN12)/TP2 (TP4 +IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 3.32475 1.274880.90778 0.80852 0.00716 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOIHVT42/HOS 0.23367 0.20641 0     0     PLTA PSTA NLTA NSTA SLTA SSTA−0.047 mm 0.028 mm 0.029 mm −0.018 mm −0.025 mm 0.018 mm

The following values for the conditional expressions can be obtainedfrom the data in Table 3 and Table 4.

Values Related to Inflection Point of Second Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 7.1935 HIF111/HOI 2.8774 SGI1112.9188 |SGI111|/(|SGI111| + TP1) 0.3970 HIF311 1.9747 HIF311/HOI 0.7899SGI311 0.2667 |SGI311|/(|SGI311| + TP3) 0.1151 HIF312 3.1679 HIF312/HOI1.2672 SGI312 0.4747 |SGI312|/(|SGI312| + TP3) 0.1880 HIF321 3.3358HIF321/HOI 1.3343 SGI321 −0.8799 |SGI321|/(|SGI321| + TP3) 0.3003 HIF4212.3479 HIF421/HOI 0.9391 SGI421 0.4718 |SGI421|/(|SGI421| + TP4) 0.1569

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 3 and Table 4:

Second Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.524 1.530 0.006100.38% 4.434 34.51% 12 1.524 1.590 0.066 104.31% 4.434 35.86% 21 1.5241.541 0.017 101.12% 4.884 31.56% 22 1.524 1.541 0.017 101.11% 4.88431.56% 31 1.524 1.536 0.012 100.77% 2.050 74.93% 32 1.524 1.535 0.011100.71% 2.050 74.89% 41 1.524 1.538 0.014 100.89% 2.536 60.66% 42 1.5241.535 0.011 100.71% 2.536 60.55% ARS EHD ARS value ARS − EHD (ARS/EHD) %TP ARS/TP (%) 11 8.116 9.103 0.988 112.17% 4.434 205.32% 12 4.024 6.2732.249 155.89% 4.434 141.49% 21 3.233 3.377 0.144 104.46% 4.884 69.14% 223.582 3.748 0.166 104.65% 4.884 76.74% 31 3.441 3.484 0.043 101.24%2.050 169.93% 32 3.366 3.528 0.161 104.79% 2.050 172.08% 41 3.084 3.1510.067 102.18% 2.536 124.26% 42 2.458 2.546 0.088 103.58% 2.536 100.43%

Third Embodiment

Please refer to FIG. 3A to FIG. 3C. FIG. 3A is a schematic view of theoptical image capturing system according to the third embodiment of thepresent invention. FIG. 3B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and an optical distortion grid of theoptical image capturing system, in the order from left to right,according to the third embodiment of the present invention. FIG. 3C is atransverse aberration diagram of the longest operation wavelength andthe shortest operation wavelength for tangential fan and sagittal fan,wherein the longest operation wavelength and the shortest operationwavelength pass through an edge of the aperture stop and incident at theposition of 0.7 HOI on the image plane, according to the thirdembodiment of the present invention. As shown in FIG. 3A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 310, an aperture stop 300, a second lenselement 320, a third lens element 330, a fourth lens element 340, anIR-bandstop filter 370, an image plane 380, and an image sensing device390.

The first lens element 310 has negative refractive power and is made ofplastic material. The first lens element 310 has a convex object-sidesurface 312 and a concave image-side surface 314, and both object-sidesurface 312 and image-side surface 314 are aspheric. The object-sidesurface 312 has an inflection point.

The second lens element 320 has positive refractive power and is made ofplastic material. The second lens element 320 has a convex object-sidesurface 322 and a convex image-side surface 324, and both object-sidesurface 322 and image-side surface 324 are aspheric.

The third lens element 330 has positive refractive power and is made ofplastic material. The third lens element 330 has a convex object-sidesurface 332 and a convex image-side surface 334, and both object-sidesurface 332 and image-side surface 334 are aspheric. The object-sidesurface 332 thereof has two inflection points while the image-sidesurface 334 thereof has an inflection point.

The fourth lens element 340 has negative refractive power and is made ofplastic material. The fourth lens element 340 has a concave object-sidesurface 342 and a concave image-side surface 344; both object-sidesurface 342 and image-side surface 344 are aspheric. The object-sidesurface 342 has two inflection points.

The IR-bandstop filter 370 is made of glass material and is disposedbetween the fourth lens element 340 and the image plane 380, withoutaffecting the focal length of the optical image capturing system.

Table 5 and Table 6 below should be incorporated into the reference ofthe present embodiment.

TABLE 5 Lens Parameters for the Third Embodiment f(focal length) =3.3798 mm; f/HEP = 1.0; HAF(half angle of view) = 37.4984 deg SurfaceThickness Refractive Abbe Focal No. Curvature Radius (mm) Material IndexNumber Length 0 Object 1E+18 1E+13 1 Lens 1 11.76523035 4.784 Plastic1.565 58.00 −13.181938 2 3.897367792 15.807 3 Aperture 1E+18 −0.879 stop4 Lens 2 7.126055808 5.979 Plastic 1.565 58.00 7.27 5 −6.802855023 0.0506 Lens 3 6.670417053 2.489 Plastic 1.565 58.00 6.24 7 −6.513825093 0.0748 Lens 4 −4.973689449 3.070 Plastic 1.661 20.40 −5.34 9 15.581164660.450 10 IR- 1E+18 0.850 BK7_SCHOTT 1.517 64.13 bandstop filter 11 1E+180.577 12 Image 1E+18 −0.003 plane Reference wavelength = 555 nm

TABLE 6 The Aspheric Coefficients of the Third Embodiment Table 6:Aspheric Coefficients Surface No. 1 2 4 5 k = −3.478078E−01−1.027098E+00 6.999876E−02 −2.548024E+00 A₄ = 6.494523E−05 1.649261E−03−4.565849E−04 1.471902E−04 A₆ = −1.398242E−06 2.168277E−05 −1.952807E−05−4.299375E−05 A₈ = 3.992733E−08 2.002647E−07 3.868102E−07 2.917163E−06A₁₀ = −3.401221E−10 9.606331E−08 −3.447688E−08 −7.077230E−08 A₁₂ =0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9k = −4.710817E+00 −4.847408E+00 −7.323635E+00 1.553616E+01 A₄ =7.707558E−04 −5.351266E−04 2.098474E−03 1.182229E−02 A₆ = −1.205195E−049.777220E−06 −9.231357E−05 −5.221428E−04 A₈ = −8.300287E−06−5.936044E−06 3.058575E−06 4.642373E−05 A₁₀ = 5.257710E−07 2.881147E−07−1.312267E−07 −6.683008E−06 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00

In the third embodiment, the presentation of the aspheric surfaceequation is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are similar to those inthe first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 5 and Table 6.

Third Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42HVT41 HVT42 ODT % TDT % −0.62485  0.55701 0.00000 0.00000 −3.52921 3.56300 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 0.256400.46494 0.54156 0.63348 1.81335 1.16480 ΣPPR ΣNPR ΣPPR/| ΣNPR | ΣPP ΣNPf1/ΣPP 1.09841 0.79796 1.37653 1.93402 −6.94104  −2.75867  f4/ΣNP IN12/fIN23/f IN34/f TP3/f TP4/f 1.89912 4.41692 0.01479 0.02176 0.736530.90847 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 31.37450  33.24820 13.29928  0.38070 0.94365 0.52025 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 3.29694 1.26299 0.80012 0.810740.00587 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS 0.203510.18141 0     0     PLTA PSTA NLTA NSTA SLTA SSTA −0.042 mm 0.025 mm0.030 mm −0.012 mm −0.018 mm 0.015 mm

The following values for the conditional expressions can be obtainedfrom the data in Table 5 and Table 6.

Values Related to Inflection Point of Third Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 8.05201 HIF111/HOI 3.4080 SGI1113.6372 |SGI111|/(|SGI111| + TP1) 0.4319 HIF311 2.3119 HIF311/HOI 0.9248SGI311 0.3630 |SGI311|/(|SGI311| + TP3) 0.1273 HIF312 3.7326 HIF312/HOI1.4930 SGI312 0.6324 |SGI312|/(|SGI312| + TP3) 0.2026 HIF321 3.7319HIF321/HOI 1.4928 SGI321 −1.0035 |SGI321|/(|SGI321| + TP3) 0.2873 HIF4112.0667 HIF411/HOI 0.8267 SGI411 −0.3191 |SGI411|/(|SGI411| + TP4) 0.0942HIF412 3.1486 HIF412/HOI 1.2594 SGI412 −0.5588 |SGI412|/(|SGI412| + TP4)0.1540

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 5 and Table 6:

Third Embodiment (Perimary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.690 1.695 0.005100.30% 4.784 35.43% 12 1.690 1.745 0.055 103.26% 4.784 36.48% 21 1.6901.704 0.015 100.86% 5.979 28.51% 22 1.690 1.705 0.015 100.91% 5.97928.52% 31 1.690 1.705 0.015 100.91% 2.489 68.50% 32 1.690 1.706 0.016100.96% 2.489 68.54% 41 1.690 1.709 0.019 101.11% 3.070 55.65% 42 1.6901.705 0.015 100.91% 3.070 55.54% ARS EHD ARS value ARS − EHD (ARS/EHD) %TP ARS/TP (%) 11 9.150 10.353 1.203 113.15% 4.784 216.41% 12 4.825 7.3832.558 153.01% 4.784 154.33% 21 3.637 3.770 0.132 103.64% 5.979 63.05% 224.065 4.252 0.187 104.60% 5.979 71.12% 31 3.857 3.920 0.064 101.65%2.489 157.48% 32 3.767 3.943 0.176 104.68% 2.489 158.41% 41 3.461 3.5230.062 101.79% 3.070 114.73% 42 2.484 2.588 0.104 104.17% 3.070 84.28%

Fourth Embodiment

Please refer to FIG. 4A to FIG. 4C. FIG. 4A is a schematic view of theoptical image capturing system according to the fourth embodiment of thepresent invention. FIG. 4B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and an optical distortion grid of theoptical image capturing system, in the order from left to right,according to the fourth embodiment of the present invention. FIG. 4C isa transverse aberration diagram of the longest operation wavelength andthe shortest operation wavelength for tangential fan and sagittal fan,wherein the longest operation wavelength and the shortest operationwavelength pass through an edge of the aperture stop and incident at theposition of 0.7 HOI on the image plane, according to the fourthembodiment of the present invention. As shown in FIG. 4A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 410, an aperture stop 400, a second lenselement 420, a third lens element 430, a fourth lens element 440, anIR-bandstop filter 470, an image plane 480, and an image sensing device490.

The first lens element 410 has negative refractive power and is made ofplastic material. The first lens element 410 has a convex object-sidesurface 412 and a concave image-side surface 414, and both object-sidesurface 412 and image-side surface 414 are aspheric.

The second lens element 420 has positive refractive power and is made ofplastic material. The second lens element 420 has a convex object-sidesurface 422 and a convex image-side surface 424, and both object-sidesurface 422 and image-side surface 424 are aspheric.

The third lens element 430 has negative refractive power and is made ofplastic material. The third lens element 430 has a concave object-sidesurface 432 and a concave image-side surface 434, and both object-sidesurface 432 and image-side surface 434 are aspheric.

The fourth lens element 440 has positive refractive power and is made ofplastic material. The fourth lens element 440 has a convex object-sidesurface 442 and a convex image-side surface 444; both object-sidesurface 442 and image-side surface 444 are aspheric. The object-sidesurface 442 has an inflection point.

The IR-bandstop filter 470 is made of glass material and is disposedbetween the fourth lens element 440 and the image plane 480, withoutaffecting the focal length of the optical image capturing system.

Table 7 and Table 8 below should be incorporated into the reference ofthe present embodiment.

TABLE 7 Lens Parameters for the Fourth Embodiment f(focal length) =3.88783 mm; f/HEP = 1.0; HAF(half angle of view) = 32.5 deg SurfaceThickness Refractive Abbe Focal No. Curvature Radius (mm) Material IndexNumber Length 0 Object 1E+18 1E+13 1 Lens 1 5.670019454 7.998 Plastic1.565 54.50 −16.974434 2 1.746917987 12.581 3 Aperture 1E+18 −0.616 stop4 Lens 2 3.930042884 2.074 Plastic 1.565 58.00 5.45 5 −11.69551685 0.9896 Lens 3 −16.52238717 0.801 Plastic 1.661 20.40 −7.45 7 7.2457858970.050 8 Lens 4 4.334011471 3.965 Plastic 1.565 58.00 3.47 9 −2.4058178160.450 10 IR- 1E+18 0.850 BK7_SCHOTT 1.517 64.13 bandstop filter 11 1E+180.598 12 Image 1E+18 −0.012 Plane Reference wavelength = 555 nm

TABLE 8 The Aspheric Coefficients of the Fourth Embodiment Table 8:Aspheric Coefficients Surface No. 1 2 4 5 k = −6.449180E−01−7.705157E−01 −6.016311E−01 −2.488488E+01 A₄ = 1.500548E−04 2.513122E−048.955844E−04 −1.438135E−03 A₆ = −4.596455E−07 6.215427E−04 6.654743E−054.294092E−05 A₈ = 1.051643E−07 −4.372290E−05 1.092904E−05 2.916946E−06A₁₀ = −8.993803E−10 1.116177E−06 −1.527249E−06 −1.310421E−06 A₁₂ =0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9k = −3.586288E+01 4.536350E+00 −2.353731E+00 −3.782837E+00 A₄ =2.660797E−03 9.585163E−03 1.826377E−04 −5.825593E−03 A₆ = −2.258218E−03−1.647093E−03 2.387347E−04 2.516191E−04 A₈ = 2.101585E−05 −2.627373E−05−7.886019E−05 2.542939E−05 A₁₀ = 1.682810E−05 1.541524E−05 4.097602E−06−3.477041E−06 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

In the fourth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 7 and Table 8.

Fourth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42HVT41 HVT42 | ODT | % | TDT | % 0.68865 −1.57973  0.00000 0.000001.00097 0.60050 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 |0.22904 0.71313 0.52162 1.12124 3.11357 0.73145 ΣPPR ΣNPR Σ PPR/| Σ NPR| ΣPP ΣNP f1/ΣPP 1.23476 1.35028 0.91444 −2.00156  −13.50697  −2.72375 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f 1.25671 3.07735 0.25450 0.012860.20608 1.01981 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 27.84200 29.72730  11.89092  0.30774 0.93658 0.53295 (TP1 + IN12)/TP2 (TP4 +IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 9.62547 5.011083.85662 0.20207 0.25603 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOIHVT42/HOS 0.17369 0.39843 0     0     0.17369 PLTA PSTA NLTA NSTA SLTASSTA 0.012 mm 0.006 mm 0.018 mm −0.005 mm −0.005 mm 0.009 mm

The following values for the conditional expressions can be obtainedfrom the data in Table 7 and Table 8.

Values Related to Inflection Point of Fourth Embodiment (PrimaryReference Wavelength = 555 nm) HIF411 2.2723 HIF411/HOI 0.9089 SGI4110.5454 |SGI411|/(|SGI411| + TP4) 0.1209

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 7 and Table 8:

Fourth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.944 1.982 0.038101.95% 7.998 24.78% 12 1.944 2.372 0.428 122.04% 7.998 29.66% 21 1.9442.031 0.087 104.47% 2.074 97.92% 22 1.944 1.952 0.008 100.40% 2.07494.11% 31 1.944 1.956 0.012 100.64% 0.801 244.18% 32 1.944 1.987 0.043102.20% 0.801 247.96% 41 1.944 1.999 0.055 102.81% 3.965 50.41% 42 1.9442.075 0.131 106.72% 3.965 52.32% ARS EHD ARS value ARS − EHD (ARS/EHD) %TP ARS/TP (%) 11 7.459 10.892 3.433 146.03% 7.998 136.18% 12 3.059 5.1652.106 168.85% 7.998 64.58% 21 2.555 2.771 0.216 108.47% 2.074 133.62% 222.489 2.509 0.020 100.79% 2.074 120.97% 31 2.220 2.253 0.033 101.48%0.801 281.22% 32 2.272 2.345 0.073 103.21% 0.801 292.67% 41 2.335 2.4210.086 103.68% 3.965 61.05% 42 2.582 2.847 0.265 110.28% 3.965 71.80%

Fifth Embodiment

Please refer to FIG. 5A to FIG. 5C. FIG. 5A is a schematic view of theoptical image capturing system according to the fifth embodiment of thepresent invention. FIG. 5B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and an optical distortion grid of theoptical image capturing system, in the order from left to right,according to the fifth embodiment of the present invention. FIG. 5C is atransverse aberration diagram of the longest operation wavelength andthe shortest operation wavelength for tangential fan and sagittal fan,wherein the longest operation wavelength and the shortest operationwavelength pass through an edge of the aperture stop and incident at theposition of 0.7 HOI on the image plane, according to the optical imagecapturing system of the fifth embodiment. As shown in FIG. 5A, in theorder from an object side to an image side, the optical image capturingsystem includes a first lens element 510, an aperture stop 500, a secondlens element 520, a third lens element 530, a fourth lens element 540,an IR-bandstop filter 570, an image plane 580, and an image sensingdevice 590.

The first lens element 510 has negative refractive power and is made ofplastic material. The first lens element 510 has a convex object-sidesurface 512 and a concave image-side surface 514, and both object-sidesurface 512 and image-side surface 514 are aspheric. The image-sidesurface 514 has an inflection point.

The second lens element 520 has positive refractive power and is made ofplastic material. The second lens element 520 has a concave object-sidesurface 522 and a convex image-side surface 524, and both object-sidesurface 522 and image-side surface 524 are aspheric.

The third lens element 530 has negative refractive power and is made ofplastic material. The third lens element 530 has a concave object-sidesurface 532 and a convex image-side surface 534, and both object-sidesurface 532 and image-side surface 534 are aspheric.

The fourth lens element 540 has positive refractive power and is made ofplastic material. The fourth lens element 540 has a convex object-sidesurface 542 and a convex image-side surface 544. Both object-sidesurface 542 and image-side surface 544 are aspheric, and the object-sidesurface 542 has an inflection point.

The IR-bandstop filter 570 is made of glass material and is disposedbetween the fourth lens element 540 and the image plane 580, withoutaffecting the focal length of the optical image capturing system.

Table 9 and Table 10 below should be incorporated into the reference ofthe present embodiment.

TABLE 9 Lens Parameters for the Fifth Embodiment f(focal length) =2.70119 mm; f/HEP = 1.2; HAF(half angle of view) = 42.4998 deg SurfaceThickness Refractive Abbe Focal No. Curvature Radius (mm) Material IndexNumber Length 0 Object 1E+18 1E+13 1 Lens 1 6.158747547 8.000 Plastic1.661 20.40 −14.843327 2 1.82361617 6.690 3 Aperture 1E+18 0.143 Stop 4Lens 2 −42.98520341 1.079 Plastic 1.565 58.00 5.63 5 −2.998039358 0.2296 Lens 3 −1.186191791 0.786 Plastic 1.661 20.40 −6.50 7 −2.0658077180.050 8 Lens 4 2.969788662 3.757 Plastic 1.565 58.00 3.01 9 −2.1781385960.450 10 IR- 1E+18 0.850 BK_7 1.517 64.13 bandstop filter 11 1E+18 1.09012 Image 1E+18 −0.018 plane Reference wavelength = 555 nm

TABLE 10 The Aspheric Coefficients of the Fifth Embodiment Table 10:Aspheric Coefficients Surface No. 1 2 4 5 k = −5.268242E−01−8.177104E−01 −2.131511E+01 2.973521E+00 A₄ = 9.775202E−05 −2.201820E−03−2.151681E−02 −4.795028E−02 A₆ = −6.257699E−06 −5.079458E−05−2.172492E−02 1.669960E−02 A₈ = 1.353415E−07 4.552189E−05 2.286686E−02−1.561019E−02 A₁₀ = −9.694921E−10 −3.618230E−06 −1.308899E−023.849928E−03 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00Surface No. 6 7 8 9 k = −8.719402E−01 −2.536702E+00 −2.770874E+00−2.417730E+00 A₄ = 6.206569E−02 1.330541E−02 −1.217373E−02 −3.383517E−03A₆ = −1.408895E−02 1.600899E−03 2.270720E−03 5.625596E−04 A₈ =−9.870109E−03 −1.863735E−03 −2.673098E−04 −5.679854E−05 A₁₀ =2.238140E−03 1.801866E−04 1.010995E−05 1.080656E−06 A₁₂ = 0.000000E+000.000000E+00 0.000000E+00 0.000000E+00

In the fifth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 9 and Table 10:

Fifth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42HVT41 HVT42 ODT % TDT % 0.65072 −1.86019  0.00000 0.00000 −1.09946 0.37266 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 0.181980.47968 0.41531 0.89677 2.63590 0.86580 ΣPPR ΣNPR ΣPPR/| ΣNPR| ΣPP ΣNPf1/ΣPP 0.89499 1.07875 0.82966 −0.87282  −11.83117  −6.45174  f4/ΣNPIN12/f IN23/f IN34/f TP3/f TP4/f 1.25459 2.52981 0.08463 0.01851 0.291131.39072 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 20.73420  23.10680 9.24272 0.36425 0.89732 0.65699 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 13.74606  4.84061 7.413520.20934 0.10917 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS0.17322 0.49518 0.00000 0.00000 PLTA PSTA NLTA NSTA SLTA SSTA −0.013 mm0.012 mm 0.001 mm −0.001 mm 0.005 mm 0.002 mm

The following values for the conditional expressions can be obtainedfrom the data in Table 9 and Table 10.

Values Related to Inflection Point of Fifth Embodiment (PrimaryReference Wavelength = 555 nm) HIF121 3.4251 HIF121/HOI 1.3700 SGI1213.7002 |SGI121|/(|SGI121| + TP1) 0.3163 HIF411 1.7710 HIF411/HOI 0.7084SGI411 0.3914 |SGI411|/(|SGI411| + TP4) 0.0944

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 9 and Table 10:

Fifth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.125 1.131 0.006100.52% 8.000 14.14% 12 1.125 1.194 0.068 106.08% 8.000 14.92% 21 1.1111.117 0.005 100.49% 1.079 103.47% 22 1.125 1.194 0.069 106.12% 1.079110.68% 31 1.125 1.257 0.131 111.65% 0.786 159.79% 32 1.125 1.161 0.035103.15% 0.786 147.63% 41 1.125 1.144 0.019 101.65% 3.757 30.46% 42 1.1251.166 0.041 103.63% 3.757 31.05% ARS EHD ARS value ARS − EHD (ARS/EHD) %TP ARS/TP (%) 11 8.435 12.938 4.503 153.38% 8.000 161.73% 12 3.571 5.6832.113 159.17% 8.000 71.04% 21 1.111 1.117 0.005 100.49% 1.079 103.47% 221.430 1.693 0.263 118.36% 1.079 156.87% 31 1.447 1.763 0.316 121.83%0.786 224.19% 32 2.056 2.236 0.181 108.79% 0.786 284.40% 41 2.856 2.9410.086 103.01% 3.757 78.30% 42 3.243 3.838 0.595 118.35% 3.757 102.18%

Sixth Embodiment

Please refer to FIG. 6A to FIG. 6C. FIG. 6A is a schematic view of theoptical image capturing system according to the sixth embodiment of thepresent invention. FIG. 6B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and an optical distortion grid of theoptical image capturing system, in the order from left to right,according to the sixth embodiment of the present invention. FIG. 6C is atransverse aberration diagram of the longest operation wavelength andthe shortest operation wavelength for tangential fan and sagittal fan,wherein the longest operation wavelength and the shortest operationwavelength pass through an edge of the aperture stop and incident at theposition of 0.7 HOI on the image plane, according to the optical imagecapturing system of the sixth embodiment. As shown in FIG. 6A, in theorder from an object side to an image side, the optical image capturingsystem includes a first lens element 610, an aperture stop 600, a secondlens element 620, a third lens element 630, a fourth lens element 640,an IR-bandstop filter 670, an image plane 680, and an image sensingdevice 690.

The first lens element 610 has negative refractive power and is made ofplastic material. The first lens element 610 has a convex object-sidesurface 612 and a concave image-side surface 614, and both object-sidesurface 612 and image-side surface 614 are aspheric.

The second lens element 620 has positive refractive power and is made ofplastic material. The second lens element 620 has a concave object-sidesurface 622 and a convex image-side surface 624, and both object-sidesurface 622 and image-side surface 624 are aspheric. The object-sidesurface 622 thereof has an inflection point.

The third lens element 630 has positive refractive power and is made ofplastic material. The third lens element 630 has a convex object-sidesurface 632 and a convex image-side surface 634, and both object-sidesurface 632 and image-side surface 634 are aspheric. The image-sidesurface 634 has an inflection point.

The fourth lens element 640 has negative refractive power and is made ofplastic material. The fourth lens element 640 has a convex object-sidesurface 642 and a concave image-side surface 644. Both object-sidesurface 642 and image-side surface 644 are aspheric and have twoinflection points.

The IR-bandstop filter 670 is made of glass material and is disposedbetween the fourth lens element 640 and the image plane 680, withoutaffecting the focal length of the optical image capturing system.

Table 11 and Table 12 below should be incorporated into the reference ofthe present embodiment.

TABLE 11 Lens Parameters for the Sixth Embodiment f(focal length) =3.36741 mm; f/HEP = 1.2, HAF(half angle of view) = 37.5011 deg SurfaceThickness Refractive Abbe Focal No. Curvature Radius (mm) Material IndexNumber Length 0 Object 1E+18 1E+13 1 Lens 1 9.95863338 6.020 Plastic1.661 20.40 −7.106032 2 2.434282258 0.728 3 Aperture 1E+18 0.161 Stop 4Lens 2 −7.728649238 2.654 Plastic 1.565 58.00 6.88 5 −2.914557811 0.0506 Lens 3 4.102591718 4.130 Plastic 1.565 58.00 3.22 7 −2.086869307 0.0508 Lens 4 44.45850299 1.236 Plastic 1.661 20.40 −3.82 9 2.380045645 0.45010 IR- 1E+18 0.850 BK_7 1.517 64.13 1E+18 bandstop filter 11 1E+18 0.25212 Image 1E+18 0.002 Plane Reference wavelength = 555 nm

TABLE 12 The Aspheric Coefficients of the Sixth Embodiment Table 12:Aspheric Coefficients Surface No. 1 2 4 5 k = −3.502009E+00−2.427431E+00 −5.000000E+01 −2.331405E+00 A₄ = 1.121387E−03 3.905670E−02−1.517579E−02 −1.713765E−02 A₆ = 1.514408E−05 2.621951E−02 5.586381E−03−7.094846E−04 A₈ = −7.089904E−07 −2.017899E−02 −3.972550E−032.227212E−04 A₁₀ = 2.290982E−08 9.249652E−03 1.362984E−03 −5.663162E−05A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 67 8 9 k = −3.176700E+00 −5.478225E+00 −4.604642E+01 −1.014863E+01 A₄ =1.067811E−03 −3.357851E−03 −1.012794E−02 −1.870754E−02 A₆ = 3.142067E−045.657456E−04 −8.637325E−04 2.178348E−03 A₈ = −4.901202E−05 −6.632229E−052.215609E−04 −1.297466E−04 A₁₀ = 1.915013E−06 2.970023E−06 −8.559786E−064.809582E−06 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

In the sixth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 11 and Table 12:

Sixth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42HVT41 HVT42 ODT % TDT % −0.40770  0.25417 0.72328 2.11034 −3.25691 4.38911 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 0.473880.48925 1.04672 0.88243 1.03243 2.13944 ΣPPR ΣNPR ΣPPR/| Σ NPR | ΣPP ΣNPf1/ΣPP 1.53596 1.35631 1.13246 10.09997  −10.92210  0.68147 f4/ΣNPIN12/f IN23/f IN34/f TP3/f TP4/f 0.65061 0.26389 0.01485 0.01485 1.226500.36693 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 15.02820  16.58270 6.63308 0.59308 0.90626 0.93421 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 2.60283 0.31128 2.26802 3.342560.00732 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS 0.329950.20570 0.84414 0.12726 PLTA PSTA NLTA NSTA SLTA SSTA −0.029 mm 0.030 mm0.017 mm 0.006 mm −0.009 mm 0.025 mm

The following values for the conditional expressions can be obtainedfrom the data in Table 11 and Table 12:

Values Related to Inflection Point of Sixth Embodiment (PrimaryReference Wavelength = 555 nm) HIF211 1.2686 HIF211/HOI 0.5074 SGI211−0.1105 |SGI211|/(|SGI211| + TP2) 0.0400 HIF321 2.9431 HIF321/HOI 1.1772SGI321 −1.1135 |SGI321|/(|SGI321| + TP3) 0.2124 HIF411 0.4217 HIF411/HOI0.1687 SGI411 0.0017 |SGI411|/(|SGI411| + TP4) 0.0014 HIF412 2.4163HIF412/HOI 0.9665 SGI412 −0.2541 |SGI412|/(|SGI412| + TP4) −0.1706HIF421 0.8522 HIF421/HOI 0.3409 SGI421 0.1143 |SGI421|/(|SGI421| + TP4)0.0846 HIF422 2.4364 HIF422/HOI 0.9745 SGI422 0.2571 SGI422|/(|SGI422| +TP4) 0.1722

The values pertaining to the length of the outline curves are obtainablefrom the data in Table 11 and Table 12:

Sixth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) AREvalue ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 1.403 1.408 0.005100.35% 6.020 23.39% 12 1.346 1.529 0.183 113.60% 6.020 25.40% 21 1.3081.315 0.007 100.51% 2.654 49.55% 22 1.403 1.474 0.071 105.05% 2.65455.54% 31 1.403 1.428 0.025 101.77% 4.130 34.57% 32 1.403 1.456 0.053103.77% 4.130 35.25% 41 1.403 1.404 0.001 100.04% 1.236 113.60% 42 1.4031.421 0.018 101.29% 1.236 115.02% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 5.518 6.508 0.990 117.93% 6.020 108.11% 12 1.3461.529 0.183 113.60% 6.020 25.40% 21 1.308 1.315 0.007 100.51% 2.65449.55% 22 2.357 2.997 0.640 127.16% 2.654 112.90% 31 3.592 3.903 0.312108.68% 4.130 94.51% 32 3.512 3.810 0.298 108.48% 4.130 92.25% 41 3.2153.265 0.050 101.55% 1.236 264.23% 42 2.825 2.845 0.020 100.71% 1.236230.23%

Although the present invention is disclosed by the aforementionedembodiments, those embodiments do not serve to limit the scope of thepresent invention. A person skilled in the art could perform variousalterations and modifications to the present invention, withoutdeparting from the spirit and the scope of the present invention. Hence,the scope of the present invention should be defined by the followingappended claims.

Despite the fact that the present invention is specifically presentedand illustrated with reference to the exemplary embodiments thereof, itshould be apparent to a person skilled in the art that, variousmodifications could be performed to the forms and details of the presentinvention, without departing from the scope and spirit of the presentinvention defined in the claims and their equivalence.

What is claimed is:
 1. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with refractivepower; a second lens element with refractive power; a third lens elementwith refractive power; a fourth lens element with refractive power; andan image plane; wherein the optical image capturing system comprisesfour lens elements with refractive power, at least one of the four lenselements has positive refractive power; focal lengths of the four lenselements are respectively f1, f2, f3 and f4; a focal length of theoptical image capturing system is f, and an entrance pupil diameter ofthe optical image capturing system is HEP; a distance on an optical axisfrom an object-side surface of the first lens element to the image planeis HOS, a distance on the optical axis from the object-side surface ofthe first lens element to an image-side surface of the fourth lenselement is InTL, half of a maximum viewable angle of the optical imagecapturing system is denoted by HAF; an outline curve starting from anaxial point on any surface of any one of the four lens elements, tracingalong an outline of the surface, and ending at a coordinate point on thesurface that has a vertical height of ½ entrance pupil diameter from theoptical axis, has a length denoted by ARE; conditions as follows aresatisfied: 1≦f/HEP≦10, 0 deg≦HAF≦150 deg, and 0.9≦2 (ARE/HEP)≦2.0. 2.The optical image capturing system of claim 1, wherein TV distortion forimage formation in the optical image capturing system is TDT; theoptical image capturing system has a maximum image height HOI on theimage plane perpendicular to the optical axis, transverse aberration ofa longest operation wavelength of a positive direction tangential fan ofthe optical image capturing system passing through an edge of anentrance pupil and incident at a position of 0.7 HOI on the image planeis denoted by PLTA, and transverse aberration of a shortest operationwavelength of the positive direction tangential fan of the optical imagecapturing system passing through the edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane is denoted byPSTA; transverse aberration of the longest operation wavelength of anegative direction tangential fan of the optical image capturing systempassing through the edge of the entrance pupil and incident at theposition of 0.7 HOI on the image plane is denoted by NLTA, andtransverse aberration of the shortest operation wavelength of a negativedirection tangential fan of the optical image capturing system passingthrough the edge of the entrance pupil and incident at the position of0.7 HOI on the image plane is denoted by NSTA; transverse aberration ofthe longest operation wavelength of a sagittal fan of the optical imagecapturing system passing through the edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane is denoted bySLTA, transverse aberration of the shortest operation wavelength of thesagittal fan of the optical image capturing system passing through theedge of the entrance pupil and incident at the position of 0.7 HOI onthe image plane is denoted by SSTA; conditions as follows are satisfied:PLTA≦100 μm; PSTA≦100 μm; NLTA≦100 μm; NSTA≦100 μm; SLTA≦100 μm; andSSTA≦100 μm; and |TDT|<100%.
 3. The optical image capturing system ofclaim 1, wherein a maximum effective half diameter of any surface of anyone of the four lens elements is denoted by EHD; an outline curvestarting from the axial point on any surface of any one of those lenselements, tracing along an outline of the surface, and ending at a pointwhich defines the maximum effective half diameter, has a length denotedby ARS; conditions as follows are satisfied: 0.9≦ARS/EHD≦2.0.
 4. Theoptical image capturing system of claim 1, satisfying conditions asfollows: 0 mm<HOS≦50 mm.
 5. The optical image capturing system of claim1, wherein the image plane is a plane or a curved surface.
 6. Theoptical image capturing system of claim 1, wherein the outline curvestarting from the axial point on the object-side surface of the fourthlens elements, tracing along the outline of the object-side surface, andending at the coordinate point on the surface that has the verticalheight of ½ entrance pupil diameter from the optical axis, has thelength denoted by ARE41; the outline curve starting from the axial pointon the image-side surface of the fourth lens elements, tracing along theoutline of the image-side surface, and ending at the coordinate point onthe surface that has a vertical height of ½ entrance pupil diameter fromthe optical axis, has the length denoted by ARE42; a central thicknessof the fourth lens element on the optical axis is TP4, which satisfiesconditions as follows: 0.05≦ARE41/TP4≦25 and 0.05≦ARE42/TP4≦25.
 7. Theoptical image capturing system of claim 1, wherein the outline curvestarting from the axial point on the object-side surface of the thirdlens elements, tracing along the outline of the object-side surface, andending at the coordinate point on the surface that has the verticalheight of ½ entrance pupil diameter from the optical axis, has thelength denoted by ARE31; the outline curve starting from the axial pointon the image-side surface of the third lens elements, tracing along theoutline of the image-side surface, and ending at the coordinate point onthe surface that has the vertical height of ½ entrance pupil diameterfrom the optical axis, has the length denoted by ARE32; a centralthickness of the third lens element on the optical axis is TP3, whichsatisfies conditions as follows: 0.05≦ARE31/TP3≦25 and0.05≦ARE32/TP3≦25.
 8. The optical image capturing system of claim 1,wherein the first lens element has negative refractive power.
 9. Theoptical image capturing system of claim 1, further comprising anaperture stop; wherein a distance from the aperture stop to the imageplane on the optical axis is InS, which satisfies condition as follows:0.2≦InS/HOS≦1.1.
 10. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with refractivepower; a second lens element with refractive power; a third lens elementwith refractive power; a fourth lens element with refractive power; andan image plane; wherein the optical image capturing system comprisesfour lens elements with refractive power, at least one of the four lenselements has at least one inflection point on at least one surfacethereof; at least one of the second lens element to fourth lens elementhas positive refractive power; focal lengths of the four lens elementsare respectively f1, f2, f3 and f4; a focal length of the optical imagecapturing system is f; an entrance pupil diameter of the optical imagecapturing system is HEP; a distance on an optical axis from anobject-side surface of the first lens element to the image plane is HOS,a distance on the optical axis from the object-side surface of the firstlens element to an image-side surface of the fourth lens element isInTL, half of a maximum viewable angle of the optical image capturingsystem is denoted by HAF; an outline curve starting from an axial pointon any surface of any one of the four lens elements, tracing along anoutline of the surface, and ending at a coordinate point on the surfacethat has a vertical height of ½ entrance pupil diameter from the opticalaxis, has a length denoted by ARE; conditions as follows are satisfied:1≦f/HEP≦10, 0 deg≦HAF≦150 deg, and 0.9≦2 (ARE/HEP)≦2.0.
 11. The opticalimage capturing system of claim 10, wherein a maximum effective halfdiameter of any surface of any one of the four lens elements is denotedby EHD; an outline curve starting from the axial point on any surface ofany one of those lens elements, tracing along an outline of the surface,and ending at a point which defines the maximum effective half diameter,has a length denoted by ARS; conditions as follows are satisfied:0.9≦ARS/EHD≦2.0.
 12. The optical image capturing system of claim 10,wherein at least one of the object-side surface and the image-sidesurface of the fourth lens element has at least one inflection point.13. The optical image capturing system of claim 10, wherein the opticalimage capturing system has a maximum image height HOI on the image planeperpendicular to the optical axis; transverse aberration of a longestoperation wavelength of a positive direction tangential fan of theoptical image capturing system passing through an edge of an entrancepupil and incident at a position of 0.7 HOI on the image plane isdenoted by PLTA, and transverse aberration of a shortest operationwavelength of the positive direction tangential fan of the optical imagecapturing system passing through the edge of the entrance pupil andincident at the position of 0.7 HOI on the image plane is denoted byPSTA; transverse aberration of the longest operation wavelength of anegative direction tangential fan of the optical image capturing systempassing through the edge of the entrance pupil and incident at theposition of 0.7 HOI on the image plane is denoted by NLTA, andtransverse aberration of the shortest operation wavelength of thenegative direction tangential fan of the optical image capturing systempassing through the edge of the entrance pupil and incident at theposition of 0.7 HOI on the image plane is denoted by NSTA; transverseaberration of the longest operation wavelength of a sagittal fan of theoptical image capturing system passing through the edge of the entrancepupil and incident at the position of 0.7 HOI on the image plane isdenoted by SLTA, transverse aberration of the shortest operationwavelength of the sagittal fan of the optical image capturing systempassing through the edge of the entrance pupil and incident at theposition of 0.7 HOI on the image plane is denoted by SSTA; conditions asfollows are satisfied: PLTA≦50 μm; PSTA≦50 μm; NLTA≦50 μm; NSTA≦50 μm;SLTA≦50 μm; and SSTA≦50 μm.
 14. The optical image capturing system ofclaim 10, wherein the first lens element has negative refractive power.15. The optical image capturing system of claim 10, wherein a distanceon the optical axis between the first lens element and the second lenselement is IN12, which satisfies condition as follows: 0<IN12/f≦60. 16.The optical image capturing system of claim 10, wherein a distance onthe optical axis between the third lens element and the fourth lenselement is IN34, which satisfies condition as follows: 0<IN34/f≦5. 17.The optical image capturing system of claim 10, wherein a distance onthe optical axis between the third lens element and the fourth lenselement is IN34, central thicknesses of the third lens element and thefourth lens element on the optical axis are respectively TP3 and TP4,which satisfy condition as follows: 1≦(TP4+IN34)/TP3≦10.
 18. The opticalimage capturing system of claim 10, wherein a distance on the opticalaxis between the first lens element and the second lens element is IN12,central thicknesses of the first lens element and the second lenselement on the optical axis are respectively TP1 and TP2, which satisfycondition as follows: 1≦(TP1+IN12)/TP2≦10.
 19. The optical imagecapturing system of claim 10, wherein at least one lens element amongthe first lens element, the second lens element, the third lens elementand the fourth lens element is a filter element of light with wavelengthof less than 500 nm.
 20. An optical image capturing system, from anobject side to an image side, comprising: a first lens element withnegative refractive power; a second lens element with refractive power;a third lens element with refractive power; a fourth lens element withrefractive power; at least one of an object-side surface and animage-side surface thereof having at least one inflection point; and animage plane; wherein the optical image capturing system comprises fourlens elements with refractive power, at least one lens element among thefirst lens elements to the third lens element has at least oneinflection point on at least one surface thereof; focal lengths of thefirst lens element to the fourth lens elements are respectively f1, f2,f3 and f4; a focal length of the optical image capturing system is f; anentrance pupil diameter of the optical image capturing system is HEP; adistance on an optical axis from an object-side surface of the firstlens element to the image plane is HOS, a distance on the optical axisfrom the object-side surface of the first lens element to the image-sidesurface of the fourth lens element is InTL, half of a maximum viewableangle of the optical image capturing system is denoted by HAF; anoutline curve starting from an axial point on any surface of any one ofthe four lens elements, tracing along an outline of the surface, andending at a coordinate point on the surface that has a vertical heightof ½ entrance pupil diameter from the optical axis, has a length denotedby ARE; conditions as follows are satisfied: 1≦f/HEP≦10, 0 deg≦HAF≦150deg, and 0.9≦2 (ARE/HEP)≦2.0.
 21. The optical image capturing system ofclaim 20, wherein a maximum effective half diameter of any surface ofany one of the four lens elements is denoted by EHD; an outline curvestarting from the axial point on any surface of any one of those lenselements, tracing along an outline of the surface, and ending at a pointwhich defines the maximum effective half diameter, has a length denotedby ARS; conditions as follows are satisfied: 0.9≦ARS/EHD≦2.0.
 22. Theoptical image capturing system of claim 20, satisfying conditions asfollows: 0 mm<HOS≦50 mm.
 23. The optical image capturing system of claim20, wherein the outline curve starting from the axial point on theobject-side surface of the fourth lens elements, tracing along theoutline of the object-side surface, and ending at the coordinate pointon the surface that has the vertical height of ½ entrance pupil diameterfrom the optical axis, has the length denoted by ARE41; the outlinecurve starting from the axial point on the image-side surface of thefourth lens elements, tracing along the outline of the image-sidesurface, and ending at the coordinate point on the surface that has thevertical height of ½ entrance pupil diameter from the optical axis, hasthe length denoted by ARE42; a central thickness of the fourth lenselement on the optical axis is TP4, which satisfies conditions asfollows: 0.05≦ARE41/TP4≦25 and 0.05≦ARE42/TP4≦25.
 24. The optical imagecapturing system of claim 20, wherein the outline curve starting fromthe axial point on the object-side surface of the third lens elements,tracing along the outline of the object-side surface, and ending at thecoordinate point on the surface that has the vertical height of ½entrance pupil diameter from the optical axis, has the length denoted byARE31; the outline curve starting from the axial point on the image-sidesurface of the third lens elements, tracing along the outline of theimage-side surface, and ending at the coordinate point on the surfacethat has a vertical height of ½ entrance pupil diameter from the opticalaxis, has the length denoted by ARE32; a central thickness of the thirdlens element on the optical axis is TP3, which satisfies conditions asfollows: 0.05≦ARE31/TP3≦25 and 0.05≦ARE32/TP3≦25.
 25. The optical imagecapturing system of claim 20, further comprising an aperture stop, animage sensing device, and a driving module, wherein the image sensingdevice is disposed on the image plane, a distance from the aperture stopto the image plane is InS, and the driving module couples with the fourlens elements and enables movements of those lens elements; conditionsas follows are satisfied: 0.2≦InS/HOS≦1.1.